Is this relationship normal, are we on a normal track?

All I can telll you is trust what your head says too. It is okay to love but yes be wary of what might happen. Only you can know for sure if he is the right man for you in 20 years, 30, 40. Think of it that way. Is he the last man you want. My husband and moved in together the first day we dated and we are going on 8 years now. It is possible but it is hard the first year. Rmember, communication is the key role in a relationship. Don't be scared to ask him directly. He will tell you if he is ready for that next level. It is better to be let down now than after he moves in and ya'l get married. Basically, just talk with him and see if he really wants to move forward with you. Hope this helps EB.