"And I am not going to say 'trust' or 'let him earn back your trust' because I don't think love and trust are inseparable. Nor complete. You may trust him on fins, driving the kids, to work, etc but may not be there on the cheating thing. It's not all or nothing to me. 12 steps taught me that the two can be separate. It is ok not to trust.
Or to forgive or forget. Your mind is protecting you from hurt by not forgetting.
I have only one thing, love you first (and kids). That's all life asks of you to take care of you.