Hi 1uprooted, sorry you are here.
First, lets start with one of the biggest problems: you have a cheating WH, who lies, and keeps secrets from you. When caught, he continued to find ways to keep his secrets and lie to you.
The only way you can repair a marriage with someone like this is if he gets himself in individual therapy (not marriage counselling) and figures out WHY HE KEEPS SECRETS, LIES AND DECEIVES, as well as WHY HE CHEATED.
You don't have to stay married to a cheater, liar, secret keeper, and trickster.
So what if he is in love with you? Seriously. If this is the way he treats somebody he loves, his love means nothing!
First of all, go up to the healing library here (upper left corner) and read up on the 180. You need to stay strong and keep your power. Don't do anything to make his life easier. If he's worn out his welcome on that couch, he can find another place to sleep that isn't your house. Don't shop around for him to find a place to go! That's for him to do. He needs to figure shit out for himself. Don't let him be a big baby and try to talk you into fixing his problems for him.
The very best thing to do is tell him this is his new life, he's only going to see his kids part time. If he gets a place of his own they can spend time with him over there. This is how divorced people live their lives while raising kids. They do it separately.
Let it sink in that this is what is in store for him. Stay strong. Be ice cold.
Watch what he DOES. He's a liar. Don't believe a word he says. Any promises - they mean nothing. He promised to be faithful. You have no reason to believe he will live up to his word now.
If he wants to repair his marriage, he's going to have to work his ass off - with actions you can SEE, to convince you through deed that he is determined to fix what is broken inside him, and to repair the damage he did to you and his family and his kids.
The biggest mistake that we make as BWs is to believe their words, and want the marriage to get fixed ASAP so we can get our lives back. The marriage is broken and dead. To get out of infidelity should be your number 1 goal. You can do that by either divorce or reconciliation, and both are really really really hard. R is no shortcut to happiness. The only way to recover is for him to fix what's broken inside him.
You may also benefit from counselling for yourself so you can navigate these stormy waters. You need support and guidance.
Hugs ((((1uprooted))))
FBW then 46, XWHNPDPAFTG the destroyer of my entire life. D-Day 1 '99, D-Day 2,3,4,5,6... '09-'11, D '15. I fell apart. I put myself back together. Forgiveness isn't required. I'm happy and healthy now, and MY new life is good.