Son compartido

AITAH for not giving my ex's wife equal say and decision making abilities for my kids? My ex-husband cheated and left me for his new wife. They have been officially together for 2.5 years and married for less than a year. He waited for the divorce to finalize before going public with her because he didn't want our kids ages 9 and 7 to figure out he had been cheating. That's a very obvious source of conflict but it's actually a source of double conflict. Of course I can't stand either of them. Hi