Weird insurance policy dilemma?

SO. Here's the story. I'm planning on moving in with a friend for my senior year of high school because my family is moving to another state, and I can't leave what I have here. But I don't know how car/health insurance would work. Would I send my folks money or would I get my own thing or could they still keep me in their plan thing? There's a lot I don't know about insurance kind of stuff, so any advice will help. :) Thanks!