Fourth, everyone here is going to tell you to kick him out, full stop. He's lying about this, he's probably lying about more, how can you trust him in the future, etc. Boot him to the curb. (I have to say, we sure are quick to call for kicking WHs out for a divorce busting board.)
May I am really sorry you think that is how everyone on the board views these situations. We are all people who have lived it, researched it and seen 100s and not 1,000s of these play out and can spot liars, cheaters and manipulators a mile away because we are not in deep anymore. Now you can take your husband back right now with open arms if you so choose but I guarantee there will be consequences for that later on. Or you can do what we suggest and ask him to move out (not kick him to the curb) and prove to you that he see you as someone of value.
Right now you do not see yourself as valuable because if you did there is absolutely zero chance you would put up with this nonsense. It's a process. I know because I was in your shoes at one point. I am on this board because I would like to save as many people from suffering as possible.
PM99 sorry for the hijack and May is right you do not have to make a decision today. Time and space are your friend right now.