If you're committed Kat, learn with a pick. At least for the string plucking/strumming hand, the other isn't really an option, unless you want buzzing from touching a nail.
The sound with a pick is always consistent, and using a pick, a broken nail in your case won't be an issue.
If you decide to give it a miss, your nails will grow back pretty quickly.
BTW, DirtyHarry, if you happen to read this, please check your PM's.
Good luck Kat, it's good fun.

Regards,