moving out

I'm 18 with 2 kids. I live with my grandma and 3 other siblings BUT she's going thru a lot here with her boyfriend and I'm tired of hearing them argue and plus there's no room in my room for me and my 2 kids. I do work at a plant here in our city and make up to 800 every two weeks, I would love to have my own space and just live happily. Am I wrong ? I do live here in South Carolina and the apartments here aren't expensive