Hi there!
I had much the same problem with Chloey! At first I didn't really do much because it didn't hurt but when her little teeth started poking through it became a bit of a problem!
Eventually i just decided to try holding her mouth shut with one finger one each side of her mouth (one on top, one on the bottom) every time she went for fingers/toes. After about a week of doing it every time she finally decided it wasn't worth it and stopped completely!
One piece of advice if you decide to do that though; don't do it with your whole hand as you can easily cover their nose! I was always very careful with this!
Good luck!