Somebody Help give me advice on how to find places to hunt!!

The first place you might look up is a Cattle or Dairy Farms. Birds can really compete with the feed as well as mess it up. They may welcome you in reducing the bird population. You could also contact a feed store as they will also have pigeon or rodent problems. 

I can't argue with NM in the fact that dairy farms are a great place if you can get on. .25 cal is a bit big though. You will have to be extra carful not to hole the barns. 
As the cows are not back in the sheads yet, I am currently removing rats from the barns and pigeons from local houses. Speak with you neighbours and ask if they want the pigeons removing. Let people know you are pest controlling and they will ask you. Do not tell people which properties you are pest controlling on. I have had incidents when the haters go directly to my permissions and harass them. Do try to find a use for the meat, every one appreciates this. Most of mine goes to my friends dog but I do eat some myself. As the hunter most people will expect you to clean the prey down; Ted does great videos on these subjects. 
Golf courses are also a good place for Rabbit. This is a much more suitable prey for your .25 but much more challenging. Most golf courses have a shooting association attached to them, they are more formal than farm permissions and often have a membership fee. 
Arable farms will also want Rabbit removing. These permissions are often a matter of trust between you and the farmer. You will be trusted only to shoot the game he has given you permission to shoot. In these cases I find it better to ask the farmers if you can search a, particular field or fields during the day for evidence of Rabbit. Once you show the farmer pictures of fresh droppings they will usually give you permission the hunt the warren in the evening or at night.
Some times half the problem is finding out who owns the land. The local government officers are often the place to find the owners records.

One big question is, Where is it that you live?? You say that you are in suburb and have no country around you. In Wisconsin, Most DNR owned land is huntable. There is a lot of it, and they have a web site program that finds it for you. Depending upon what state or country you live in the hunting opportunity might vary greatly. My favorite squirrel spot now is a little known DNR owned parcel that is used mainly for research and preservation that is land locked and I have to park at the end of someone's driveway and walk a quarter mile past the persons house, through their yard (in a right of way) and along a field fence. The first time I did this I was waiting for police or someone to come yell at me. But it was worth it because I found about 200 acres of awesome ravines and hundred year old oak stands to shoot.
What I am saying is, just because you live in an urban or suburban environment, don't give up. The hunting might spot might take more effort but because it takes more effort it might be worth it. Find out who is in charge of the local parks. They might even allow special permits in certain areas. Our local parks often issue bow hunters special permits if they satisfy certain training and affiliation requirements. Keep talking to your locals and good luck.

Talking to a local Game Warden has been the best way I have found some prime hunting spots. Usually they know the area better than most and are familiar with the game you seek to hunt. BLM maps and Google earth are other tools I use to find designated hunting land. I mostly hunt public land although do frequent several private lands that have given me permission for GS and rabbits.

Put yourself on the map and see if there's anyone else near you who might show you the ropes.

https://www.zeemaps.com/airgun_nation

Select "Additions" then 'Add marker - simple'. It's pretty straightforward from there.

Good advice all here and you would be well advised explore all the suggestions. I’m certainly no pro, but one of the challenges I have managed to make easier is purchasing a GPS Hunting App. http://www.huntinggpsmaps.com. Having my whole state mapped with owners names, true borders of the properties both public and private and helpful overlays of other installed maps and data right at my finger tips on my handheld GPS. It’s not always perfectly up-to-date, but just the other day, I looked up an urban property of 9.5 acres just ½ mile from my house. The App gave the name of the owner and the border outline. Who knew this beautiful woodlot was that large just viewed from the road and with a quick Google search theowners name, I found their phone number and rang them up. 15 Min later I was able to meet with them in person and get permission in writing, albeit, written permission wasn't required in this circumstance. Very, very nice folks and I feel so privileged to find perfection so close to home right in town. My first hunt there was set up in a Caldwell chair pod very nearby their house, and within about an hour, the owner came out with small plate of cookies and wanted me to let him know when I was leaving because he and his wife wanted to be etxra quiet while I was hunting squirrels. Can you believe that? Didn't get much hunting done but we had the nicest chat which was just fine by me. You can't put a price on a good rapport and he kindly invited me to their next weenie roast with family and friends. Sadly, the place is up for sale so I may not have privileges too long there, but I have made some nice new friends regardless.

I try to put myself in the shoes of the property owner. Personally, I HATE folks, even family members stopping by my place unannounced! I like to have my place presentalble for visitors and I’m not always fully dressed and/or just busy with other things, so a phone call, text or email ahead of time is always so appreciated. The hunting App gives me a real shot at finding property owners contact information so I don’t have to needlessly disturb them by just showing up at their door. Property lines are rarely obvious but with the GPS and the hunt App, I don’t have to wonder if I am encroaching illegally on someone else’s domain. Ideally it also helps to have adjacent owners permission in case game does a death dance right over the property line. In my state it's a illegal to retrieve your kill, or dispatch further those rare not so clean kills without that owner's permission. 

As Ted wisely suggests, bring along your equipment and offer to show them. Folks often find the technology and weaponry fascinating. Dress halfway presentable and if you’re sporting those God awful tatoos and piercings, don’t have them on display. I know it’s hunting, but avoid showing up in vehicle that looks like you’ve been living in it for months on end. I like to stress safety and quietness of our shooting platforms right off the bat, answer all their questions and be ready with your own in learning exactly what they are comfortable with you doing there with all the when, where and hows clearly established in advance. I like including these on the form I use. Make sure you at least exchange phone numbers. If they don’t wish a courtesy call in advance that’s fine, but I often have few questions that arise from time to time that I feel need some clarification and folks generally appreciate your conscientiousness and being able to get a hold of you as well.

Good luck!

Rock

I just thought that I'd second the recommendation of the huntinggpsmaps.com app. I just downloaded it for iOS. It comes with a 6 day trial for your state that is free. Then you need to buy the states that you need access to individually after the trial expires. Washington, or at least my area in Washington, is difficult to navigate because it is a mix-and-match patchwork of state, indian, and private land ownership. Figuring out where one can hunt and where the boundaries are is difficult. This app seems to make it a no-brainer. I was convinced after playing with it for a few minutes and bought the Washington map subscription for $30. It's about the same price as a small game hunting license. 

You're quite right and thank you, Ztirfritz. The hunting App/Maps I referenced are indeed quite reasonably priced. I was confusing my memory at the time with downloading another mapping program City Navigator which was much more costly but unrelated here. I have since corrected my post. 

I met a guy the other day that has a pecan grove that he says the squirrels are killing him so whenever I get my rig in order I'll have a place to start.

One word of caution on the hunting map apps (there are a couple out there). I caught a trespasser recently who was at least a quarter mile into our place. His excuse was to show me his gps on which he had loaded one of these programs, and sure enough, it was showing him that he was on BLM. We didn't prosecute, but in the state we were in (CO) we could have. Every state is different but a lot including Colorado don't require posting of any kind, it's entirely up to you to know what's private and what's not. 
I don't want to take the thread off topic or put down the apps as they are a great source of owner info etc, but I also don't want to see anyone get into trouble for trusting their electronics over good sense.