I guess I would explain to him that the main reason you're going to MI is to visit your family. You have so little time with them and they have so little time with the kids, that you think it would be best if you all stay with the family. "I know that you feel uncomfortable, but I will do whatever I can to make it as easy as possible for all of us. If I go out, I would love for you to come along. I think the more time we spend with my family, the more they will see that I am truly dedicated to having a life with you." I don't think I would split up the family. What if you did a few days at the cottage before checking into mom's hotel? Maybe give him a little time to adjust.
Each experience in life has formed me, become part of me, made me stronger.