Other Airgun for Squirrel?

Hello, what small airgun would you recommend for front yard squirrel hunting? I have nuisance squirrels that have refused to get in the traps since last September, and now the nerve of them, they are courting to reproduce in my front yard! No, thank you! I need something that can finally end the squirrels, but won't ricochet into the neighbors' yards across the street if I miss.

My trap has been a Squirrelinator, with peanut butter, sunflower seeds, various fruits sometimes, etc. why won't they GET IN...

Also, I don't have very strong wrists, so I might avoid the pump action ones. But it's not like I'll be using a whole canister at a time, and those can get pretty expensive if just firing a few shots and then the rest of it leaks out from non-use. I don't know much about these things... and could use some advice.
 
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Set up a "Table for One" on a tree in the back yard. It serves as a back stop as well. Then buy a Umarex Notos with a shoe box compressor, scope, scope rings and you're set. I would say all under $500. If you don't have a tree, pick up a stump at least 3 feet tall and about 2 feet wide then install the "Table for One" to the stump and you're set.

 
We have numerous squirrels around the house. My wife enjoys seeing small wildlife so much that we put out birdseed for not only birds but the squirrels along with dog food for raccoons and possums. If I were to start shooting the, she would probably beat me with my gun. Never have any of these little animals done any damage or tried scattering any trash.