Hi Sasha and Friends,
I guess I would approach this question a bit differently. Maybe I've been lucky, but I've never found hitting a squirrel or rabbit with a
any .22 a problem. It's not like we're talking long range windage issues. It's not like we're talking dangerous game. It's not like we're talking serious wallop needed to bring the critters down.
So for me the decision making criteria would be primarily economics, safety and convenience. Personally I'd check out just buying a good conditioned used one, especially if I was in a research mode. But, most any of the manufacturers' stuff won't be
that expensive and will do just fine. Same has gone for me with ammo too. We always shot whatever the local store stocked and never had a problem with any of it.
Now that I'm a Dad of a rambunctious little boy I've been selecting bolt actions for my firearms. I remember being a kid and figuring out how to break into my Dad's gun and ammo cabinets. My kid will probably be better at it than me.

Pulling the bolt out is a no brainer and disables the firearm. Plus, you can get pretty darn fast with a bolt, especially considering you only really need one shot!
I like cartridge style clips rather than tubes. One press of the the thumb and the clip is released from the rifle, open the bolt and the gun is unloaded. How many shots do you need anyway? The most I think I ever used at one time was three. It was one of the funnest hunting moments I've had too. It even measures up to hunting big game in the Rockies and boar with dog and knife here in Hawaii.
I used to love to sit by the Souhegan River in the oak groves when I was a kid and see how many squirrels I could get at once. The squirrels would work up and down those trees after the acorns. I would try to time shooting when at least two or three squirrels were all down on the ground at the same time and see if I could shoot them all before they got away. I usually only had one chance at it in the amount of time from after school to when I had to turn back up at home for dinner. Once I shot, all the other squirrels would be pretty scarce for quite awhile. So this one time I'm waiting and all of a sudden I notice a small movement out of the corner of my eye to my right. It was a beautiful ring neck pheasant. I wait for two squirrels down, pop them and get the pheasant too. Don't think for a moment that wait wasn't intense. Talk about a kid on a high. Like I said, it ranks up there as one of the best hunts I've ever had. Did it with my Dad's simple bolt action Remington.
I'm sure you'll have fun. Just don't over think the damn thing. Buy whatever and get hunting!!!
All the best, Phil