Ok...Here's the situation. I'm 16 and ever since I was little i've wanted to hunt, but my mom doesn't agree with it(dad doesnt mind, just shes a little controlling). Recently, after havin SIX squirrels and two opussums fall into our fireplace, my dad concluded that I shouldget an air rifle for small pest control in the yard. I would be getting an air rifle and I know that .22 caliber pellets are more fit for hunting. My question is how many FPS would i need in a gun to take out a squirrel? Possum? Possibly Raccoon? I was thinking of the crosman 2250xt, which gets about 550-600 FPS in .22 cal. Would this be enough power to take out a raccoon with a well placed shot? If you have any suggestions on other guns under 200$, i would appreciate it very much.

Thanks for your time and help.