So Sorry,
We're glad you're still here. It takes guts to own up to what you have done, and to keep reading "harsh" comments - but your staying is a good start.
Don't get me wrong (2x4 coming) - you have a LONG way to go. This is not an easy road - but if you truly want to fix you and possibly your M, it's worth it.
Here's the thing though (and I can say this because I am 2+ years out and STILL doing it)....
You're looking for validation here. You keep talking about how you will do what we say, follow advice, etc., and that's a good start - but you need to start thinking for yourself too, and working on yourself, by yourself. I don't mean that to be "without IC", or anything, but none of us know you. We don't know your history other than what you have shared, and you have been a self-confessed liar, so we have to take what you say at face value and with a grain of salt.
Don't get me wrong - I am SO glad you are still here and taking the advice. People MUCH wiser than I are here and providing great suggestions, and although it may seem harsh at times, constructive feedback.
Truly, from the bottom of my heart, I am so sorry you have to ensure the pain of your child or children saying "you made daddy go away" and crying. My kids and 4 and 5, and if I had to hear that, it would break my heart too, but it's remarkable how something so honest from a kid's mouth can really snap you back to reality to face your actions.
I think you're finally starting to see the impact of what you've done. That's good. It's hard, but good. You need to FEEL that pain you've caused and let it sync in.
Then you need to get up and move it aside and be better. Not better - Best. You need to be the BEST you you possibly can - both for your H and your children, now more than ever.
Regardless how your M turns out, your children need their mother and father. YOU have to show them you're still there for them.
Finally - I agree with Tired Girl. Losing weight, getting fit, etc., is good, but not the answer. If you don't feel your IC is helping, switch (only you can make that decision though). This is too important to leave to chance, or to worry about "hurting her feelings over leaving". No one's feelings should matter now except your husbands, kids, and yours.
Do your work - continue owning your shit.
You *SEEM* like you've been snapped back to the right path. Stay on it.
When in doubt:
"I took the road less traveled by, and that has made all the difference."