Recently, I've been using Wal Mart Winchester hollowpoints on squirrels. I may go back to solids -- while the hollowpoints are authoritative, they do a lot of damage. My rifle is a Kimber M82, with a 4X Burris compact scope. I've had this rifle for about 18 years now, and have killed a railroad car load of squirrels.
I like to practice at 50 feet on a 50-foot NRA 11-bull target. The game is to fill the magazine, and put five shots into one bull, shooting from the standing, unsupported position, and never taking the butt of the rifle from the shoulder. I don't rush, but I shoot fast, working the bolt from the shoulder. I like to shoot two magazines into each bull, and try to keep everything in the 8-ring. This is a pretty good standard for squirrel hunting, I find.
With the rifle zeroed for 50 feet, it is about an inch or so high at 25 yards, about an inch and a quarter high at 50 yards, and dead on again at 75 yards.
I hunt on my own place -- I can walk out the door and be hunting. For squirrels, I carry an over-the-shoulder bag (mine is a Claymore bandolier.) I keep a tobacco pouch of .22 shells, a pair of side cutters for taking the feet off, a Mr. Squirrel call (it really works), some clean paper (kraft sandwich bags are fine) for wrapping the carcasses, and handiwipes and disposable latex gloves in the bag.
If I wait until I get home, I use the latex gloves. Otherwise, I dress the carcasses in the field, and clean up with handiwipes.
I also use -- when I have them in stock -- my Rackensack Squirrel Hunter, a knife I designed for squirrel hunting. Unfortunately, family and friends snap them up as fast as I can make them.