Piano Lessons for 8 yr old

I am totally clueless as to any of this. My 8 DD wants piano lessons.
What do I look for in an instructor? I would have to do the lessons in MY home, do most teachers do that or not? What would be a fair price for a lesson?
How much should she practice outside of lessons?
How often should the lessons be?
ect ect.
Are there different learning methods? How do I know who to use?
help!? Please!
oh, do you think 8 is too young? I don;t want to start something she won't stick with. She is learning to play guitar with her dad.