No mud here
If you're in AA, amends is one of the last steps. There's good reason for that. It's a difficult process.
Making amends is more than an apology -- Hazelden
if you're not in AA it's just as difficult
I don't think it's the kind of thing you bring up at the kitchen table with the kids around.
I do think you need to clear the air with your wife tho?
D