Am I the problem?

So my boyfriend and I moved in together about two months ago. Before that we used to have sex on the weekends because he worked or sometimes in a blue moon he would come over after work and we would get it on. Now that we have a whole aparment to ourselfs he doesnt want to have sex as much. I am kind of a sex addict but i know when to keep it under control. He isnt always horny and i understand but since we moved in I always have to ask to have sex. I told him it would be great if he would make the first move at times but he doesnt seem to get it. I sometimes wait a whole week thinking to myself "maybe he'll want to tomorrow" but it never happens. I always have to ask. I feel like its weird asking him because as a young couple you'd think we'd be going at it like rabbits. And when we do have sex i feel like he just wants to get it over with. He plays video games a lot and i tried getting into them hoping he'd find me attractive or something can spark in our relationship but that didnt really work. I want to join a gym now because i feel like it could be my body thats causing this even though he's said that my body is perfect the way it is but i want to make a change for myself as well. I might be reading to much into this but sex is important to me. Its something i get to enjoy with him. I want passion and intimacy. Sharing that moment with someone you love is amazing to me. I dont ask for much. Id rather get a love note rather than something he bought. The little things mean so much to me. I just dont know what to do.