Will my social security check amount increase if I move out of my parents house?

Ok so I was born with cerebral palsy and get a social security benefit check every month on the 3rd. I'm 20 years old and about to turn 21 and would like to leave the nest a be on my own. I believe it's time anyways. My question to you is: would my check amount increase to help pay for rent at an apartment complex if I let me social security office know that I would be living on my own? I believe it would but I really don't know for sure and would like to know if anyone does before I call the office on Monday.