tips and tricks for .22 Benjamin Genesis

This is the first thing to master with spring piston air guns: http://www.pyramydair.com/airgun-academy-videos/
Then finding the pellet that your individual gun shoots best I would start with Crosman Premier's and JSB Jumbo Exact 15.89 grain. Also keep realistic expectations. This is an inexpensive spring gun and is not going to have competition level accuracy or smoothness of higher end guns. Good luck and have fun!

Here is my take, and others may disagree. But....

I have owned three break barrel pellets rifles. None—let me repeat that—none had what I would call decent accuracy. Neither the Umarex ones (an Octane in .177, and a Turq in .22 caliber) grouped. Five shot, 25 yard groups, averaged over 1.5 inches. The Crosman Shockwave was the worst of the worse, at about double that. This irrespective of the advice from Pyramyd! By the way, this doesn't address the really hard cocking, and the variant-search for a pellet that wouldn't have errant nutations!

I can, if I do my part, keep 25 yard groups at 1/2 inch using my Benjamin 397. I still get an occasional nutation, but that is a pellet issue, not the rifle itself. And yes, it is easier for me to make several somewhat easier pumps, than one great big one! 

To each his own, but I will never buy another break barrel, no matter who made it, even if it has all 5 star reviews!

You might try the regular Crosman Premiers, the domed ones. Hollow point pellets can be good for short range but tend to wander much past 30-40 yards. Also they are not needed for hunting. The domed ones work just fine for hunting and are accurate to much longer distances. Not that you are probably hunting much past 30-40 yards but its just nice to find one pellet that works well with your set up and just stick with it for hunting and target shooting. That way you don't have to re zero you scope every time you change pellets.

I know what you mean that $200. seems like a lot for a pellet gun. I thought that too when I first started out. However in the whole of the air gun world it is at the lower end of the scale. I started out with a $169. springer that got me hooked on air guns. Just this past summer I bought a PCP gun that cost over $2,000. Plus another $2,000. for compressor, air tank scopes and various other accessories. Heck I just ordered a hammer forged barrel for my .22 Benjamin Marauder that cost $200. So you see its all relative. But air guns are a form of insanity! LOL! That's how I plead anyway.

I just looked up your gun. Nice looking gun! Should do fine for hunting. Those types of guns can require a lot of practice to shoot well. You really just have to learn how it likes to be held. That's the key. Also spring guns don't generally like bi pods. They need to be able to move and float. Thus the artillery hold.