H is out of the house

[twinmom]

My mom came over and stayed with the twins and the baby until H got here so I could take the boys to see the movie and not have to see H. My cousin was supposed to come over at 9 so H could leave and I wouldn't have to see him. She got stuck at work so I had to see H tonight :-(

(Movie was AWESOME by the way, the boys and I loved it)

H put the twins to bed and the boys went upstairs. I asked H when he wanted to see the kids again, I told him that I wouldn't be able to leave every time as I am VERY tired doing this by myself and needed him to take the kids so I could sleep.
He said he was sorry for everything, he doesn't deserve me and that he wanted to fight for us. He said he was scared at how much work out would be and that is why he cheated. He said the kids and I deserve a happy life. He said he wanted "us"
I said "it's a lot to think about and things aren't that simple anymore" (thanks Starsky for that line)

H said he understood and knew the pain was still fresh for me and that I needed time......

So advice PLEASE! Is this where I tell him my "conditions" such as IC for him, NC, transparency plan, my needs, etc? Or do I do nothing and stay dark? (I have not been replying to 99% of his texts, and there have been a lot)