I don't want to pay rent.
If you don't pay do you have a plan or something?
I live with my parents, but I'm thinking of moving out.
Moving out is part of growing up, but so is fiscal responsibility. Paying rent is part of independence.
I want to pay my way, without having to ask someone else.
That is great! Have you tried to talk to them and ask if you can save up some money for first and last months rent to get your own place? They may be willing to help you take that leap.