Kitten love to play with anything that wiggles, and that includes toes :) Like others have posted though, they hardly ever do it to hurt you, it's just playing, and it won't usually break the skin if they "bite" during play.
Make sure that when you pick the kitten up and hold her, that you hold her close to your body, and teach your daughter to do the same. My husband made this mistake when he took in a cat while we were dating, he couldn't understand why the cat always went nuts on him and scratched him. Well, out of fear of being scratched, when he picked her up he would hold her out away from him. I told him no wonder the cat is scratching you, the poor cat was freaked out and grasping for dear life! So hold the kitten close so it feels safe and you'll be less likely to be scratched.
Other rules... Don't touch or bother the cat when it is eating. Bad idea. Depends on the cat's temperment, but you don't want your daughter to find out the hard way.
Don't get right in the cat's face, or stare it down, because it might think you are challenging it and respond in turn.
If the cat's ears are lying back flat, that cat is pissed and you better stay away.
I'm not trying to make it sound like cats are the devil or anything, I love cats. But you are asking how to avoid trouble, so that's my advice. Cats can be so cute when they cuddle up with you. Also, FYI: when a cat is really happy it will stretch out it's paws in a "clawing" action, but don't be scared because it's not scratching you! It's saying I love you! If you give the cat lots of ways to keep their claws in check (scratching posts, trimming) it should be no problem.
If you do get scratched or bitten, just be sure to wash it really well with soap and water. And make sure the cat has regular vet visits to stay up to date on vaccinations and such.
Cats are great pets, I think you will love having one. Oh, and if you really want to get the cat playing, get a laser pointer. It's so funny to watch them run around and try to tackle the beam of light!!