Leaving a home state with a toddler?

I live on my own I have a part time job but my parents pay my rent. 
I know as long as I live here they will have to supplement me because of the living cost. 
Has anyone gone from being supported for an extended period of time (maybe you were married for a long time) to taking care of themselves fully?! 
My family is an amazing support system for me and my child but I want to be independent.