Yeah i have a major squirrel problem i thought it was just one at first but then once i shot the first one the other squirrels were watching me skin him sooo that ended up being a problem and a set up a few traps. Now i've got 3 squirrels so far and more on the way. You should put some corn in a certain area and then after about a week when the squirrels are certain to go to that spot put a box trap with some corn and peanut butter. IF you really want to attract them you have to use tuna or something that stinks but that will get you some bigger stuff ex. Racoons. Then after you have the box trap set up put some snares out. As for the quiet 22 rounds look
here. I have 3 houses all around me so i dont use a 22 i just use my air rifle.
Good Luck