Now mock me if you must, but I shoot air rifles. So here is an awesome one to get...
The Gamo Hunter Extreme
1300 fps regular pellet / 1700 fps Raptor pellets
to shoot squirells out of my buddies yard all the time. Sick of them getting into his attic.
I used one similar to this to take out a squirrel.
My mom bought one for the same reason! Yet she's got a 30/30 and a shotty LOL.
For rodents I usually use my Daisy Powerline rifle (800 fps). Daisys are very powerful....
A cadet delta pellet gun and a Grizzly 840 BB/Pellet gun, never killed squirrel with either but have killed many of them with my marlin over the few months I have had it.