Sounds like you're doing great, Laurie!
It may help you (and, ultimately, your kids) for you to share some of the truth about their father at some point. Not now--and I suggest you discuss it with others before you do that--but it's great that you are examining the truth for yourself. We have to acknowledge the truth before we can heal.
Did you get that car out of the back yard? I still think that's a good idea. Slips are not uncommon in early recovery, and you really DON'T want to have to eject him from that "shelter" again.