I'll admit, I'm anxious to have him back home so we can seriously get on repairing things.
Honey, you don't need H at home physically to "repair" the M. That is a mistaken notion right there. Remember when you started dating H, did you guys move in 2 days later so you could "start dating" in earnest? Same thing with the reconciliation process.
Take your time in re-discovering each other, slowly working your way toward together, re-attracting H to you, and monitoring H's actions/words to make certain they're congruent. In due course, you'll just "know" intuitively when it's time for H to move back into the house.