Let us know how it goes!
Moving out for the first time is weird. I remember feeling a lot of the things it sounds like you're feeling. The first night was the strangest for me, feeling like I'd stepped into someone else's life and that I was sleeping in their bed, inside their apartment.
You probably won't have a definite moment when your place starts feeling like "home", but I'm sure it will before long. I have like 500,000 strategies for dealing with homesickness and I've been looking for an excuse to give out sage wisdom about college, so my inbox is always open if you ever need to talk :)