Beautiful beginning. You are on the right track and this doesn't last long if you keep up the good work with responding the right way. I would take what you did and tweak it: When bit, loudly say "Ow! That hurts!" Do more than just stop for the moment. ALL of the nice parts about breastfeeding are over -- the cuddling, the nourishment, the entire experience. Put her down and go tend to your "wound" and do dishes or something else that is not attention for you baby for about 10 minutes or so. If she's still acting hungry, ask, "Do we want to try again? Remember, NO BITING" and bring back the whole nursing experience.
If you get to the point that you have actual wounds, you do need to tend to those. Antibiotic ointment to keep from getting infected. And nipple shields are available at various locations such as the lactation consultants at hospitals and (probably) places like Babies R Us.