I'm sorry this has happened to you and have been there myself.
When you feel up to it I would recommend some reading - numerous books and articles out there detailing the signs he should be displaying if he's genuinely remorseful.
From what you describe, your DH is not displaying these currently. Is he sorry, or sorry he got caught?
I forgave an affair and it continued, so I told him to leave.
FWIW a friend recently confided that she forgave an affair five years ago - still anxious when he's away, still checks his phone, unsatisfying sex life and general feeling of everything being spoiled. To me, that's not a marriage.
At the moment you will feel like you will do anything just to put things back to how they were but in time you will realise that they never will be, and will have to decide whether the new reality is worth having.
Everything hinges on his actions now, and he should be led by you. If you feel like he is losing patience, or is going through the motions under sufferance, he isn't sorry for what he's done to you IMO.