You've gotten some great advice here. I just want to add that, in addition to being an excuse to come over, his doing those chores may be an attempt to alleviate his guilt. My H did the same thing when he moved out (though he was still denying there was an OW) and also gave me a very expensive Christmas gift. It didn't last, though!
I've read in some books that you shouldn't let them do things for you if they are still having an outside relationship. It lets them believe they're "trying to help" but it's all about making themselves feel better for the way they're treating you.
