Do what I did with Molly, my little gutter kitty. I took two tennis socks. Put a rattling kitty toy inside one, rolled it up and stuffed it in the other. I tied it up in a knot. I drew a face on it with permanent marker and she LOVES it!!!!!! I sprayed liquid catnip on it. This way it teaches her to play with objects OTHER THAN your hands. Never play with a kitten with your hands, as it reinforces bad behavior. She's gonna love the Sock Buddy.

I did the same thing with my hairless kitty, Butchie. He went nuts over it and eventually outgrew hand biting. It's just a phase.