adog12341, I forget where are you located? There are parts of the US that have issues even with airguns (bb/pellet guns, airsoft guns, or paintball guns) being shot inside city limits. The police do not care if you are a minor or not. Definitely check that before you start going to town/having fun. Back when I was living in MS/TN I did hunt squirrels, legally in the woods. Some of us used a 12-gauge shotguns loaded with bird shot, and some of us used .22 hollow points. With the shotgun we could hit in the general area and the squirrels would drop and drop out of the tree, with the .22 we had to do head shots or at least front shoulder or else they would run away in the trees. Sometime with a bad hit with a .22 we could get them to drop off the tree, but still suffer after hitting the ground.
What kind of bird feeder? Is it suspended by a cord or a string? A classic method of deterring squirrels on bird feeders suspended on a wire is to use a OLD 33 rpm record and suspend it slightly above the feeder with just a knot large enough to hold the disk/record in place but still let it tilt (The knot would be in the bottom of the disk). The idea is that the record would be wide enough to keep the squirrel from getting a good landing, and when the squirrel gets land on the side of the record to try and reach for the feeder the weight of the squirrel would cause the disk to lean too far thus causing the squirrel to fall off and completely miss the feeder. After a few times the squirrels will either keep trying and falling or finally give up. The bad thing is that squirrels are very persistent and very creative.
Raccoons are a different matter.
Doing what I can to earn my title from the old forum, one post at a time.