Re: Can't decide whether or not to have him back
In your very first post, you said that he is ready to come home, because he has finished with his affair, now? If the affair was still ongoing, would he be so anxious to return to the nest?
He didn't care anything about your feelings when he was having his affair. He still isn't caring anything about your feelings; it is still all about him and what he does and doesn't want. Has he actually said he loves you? If you give in and agree to try to continue the marriage, he's going to want to have a sexual relationship, too; can you even consider being that close to him?
Examine your feelings very carefully, and try to leave out the guilt over the kids. Just concentrate on how you would react to seeing him right there beside you, when you wake up in the morning. How you would react if he reached for you and you were still half asleep.
You said you don't love him. The children are already experiencing a separation; if you reconcile and then realize that you can NOT handle being with him all the time, they will have to re-experience it.
I know I am being very blunt, but those are the things you need to think about before you take any kind of next step.