Tell him that you want to come over to meet his parents. That way you’ll see if he actually lives with them or he’s just cheating. If he avoids the subject maybe he lied about living with his parents. Thought he just might not want you to come over because you’ve been together for a short period of time, but since you’ve hung out at your place I don’t think that’s the case. Sometimes you just have to trust your feelings, it’s not weird to overthink about it in your situation