What does it mean when your boyfriend asks you to move in with him?
I think it means that he wants you to move in with him. If you want to know more, then you'll have to ask things like: is he in love with you? Is he thinking future commitment for a long term relationship? You want to know if he doesn't have any particular plans in that department, so that when you consider this move, you have the same expectations that he does...or not. Remember to listen to his exact words, since that is what he means.