A note on ammo: If you do decide on the 22LR cartridge (which is what you should start with), go to wal-mart and buy a box of 500 winchester Dynapoints. Dynapoints are getting pretty famous in the world for being bulk ammo that is pretty accurate. In 22LR, cartridge choice matters just as much as gun choice when it comes to accuracy, and so you will need to experiment with many different brands in order to find something your gun likes.
Another note: I own a 10/22 and it is a pretty nice rifle... it is a tinkerer's rifle if you choose to get it shooting very well. With a few tools (dremel, belt sander, some files) and some bar epoxy you can make an auto bolt release, extended mag release, lessen/eliminate the trigger pretravel, and chamfer the bolt... notes on these at
www.rimfirecentral.com
The 10/22 will soon also convert to 17 HMR or 22 Mag with a different barrel and a conversion part being patented now by an RFC member... 17HMR is a pretty nice round for shooting at ranges up to 200-300 yards, too.