Do you think it would be alright if I left my home and rented a place using my parent's money?
Why would you move out of your home?
I don't want to be under the control of my parents.
Wanting your own place and space is understandable and having the help of your parents is fortunate. It is important, however to not take advantage of them and have a conversation before an actual move is made.
My parents leave all of their money with me. What's the point of talking?
While it is understandable to want to leave your family one day and start a life of your own, you should do it with your money and not your parents. You'll still technically be under their control if you're using their cash rather than your own-- have you thought about getting a job to pay for the new place?