Everyone here including you is talking about him moving in, but I'm going to question that idea, OP.
I think there's a case for him living on his own for a while so that he gets a real appreciation of what's required to run a home, how much things cost etc.
You hear so much about men who think it all happens by magic because their parents or partners did things or they lived in a house share where nobody did!
You're auditioning for a long-term partner. One who will pull his weight when he's teamed with you. One who is a competent adult and can step up if you're incapacitated.
If he has his own place you can judge him on all this and avoid being one of the many, many mournful posters on here who wake up one day, two kids in, and realize they married a man child.
It may also motivate him to link causes and effects e.g. "spend all weekend helping Jim move house = have no time to clean up own place, no clean plates or sheets come Monday evening". Aka a valuable chance for him to mature and grow as a person.
I know we can seem like cynical harpies here on MN and actually I know a lot of lovely, reliable men personally, but a teaspoon of hardheadedness now can pay back a thousand times over misery avoided later.
If you see him keep himself and his flat clean and tidy for a year or two, cook and budget, sort insurance and arrange plumbers... Then! Maybe consider getting a place together.