He may refuse to move out, he cannot legally change locks. That house is the home in which you have cared (far more than him) for your DD, do not think so easily of giving it up. Legally you have far greater claim than him, but once you are out much more difficult to get back.
I know that you have had some discussions re the legal options, but I strongly advise that you see a lawyer, expert in this, asap. Even for a half hour. It commits you to nothing, but helps you see things more dispassionately.
For what it's worth, it seems to me that all of you (who you are talking to), including WOO, are coming from an position that reconciliation is the best, and most likely option. If that is what you want, and it works out, great. But, at this point you should perhaps go for as neutral a position as you realistically can. Somebody completely out of the loop (lawyer) can help you do that.
Also, try to harden yourself and be prepared for things to not get better, but worse as these things never take a linear path. I hate to say it, but given how recent the affair is, he may well be in touch, especially as he can't rely on you emotionally as he is used to. That doesn't mean things are irretrievable, but will make things even more difficult.
Finally, and with the best of intentions. He may well be a good man. But he has had a longish, emotionally invested sexual affair, whilst at the same time making you feel terrible, anxious, and go through a farce of counselling that he was lying through his teeth at. Not a drunken, mistaken ONS. He has shown a degree of calculation, and manipulation you would be foolish to ignore in terms of all aspects of any future relationship.