Late reply, but as someone who moved out (not because I wanted to, there was no other option), moving out is overrated. Yeah, you learn a few basic skills but imo you can learn that at anytime and everywhere. I wish I could stay home for uni: cheaper, family, no time spend on cooking; cleaning; dishes, you don't feel alone.
Pros: moving to a big city you have more activities to do with friends
Cons: you don't really have a lot of time to do those activities
Overall, staying home is the best thing you could do if you have a nice study space.