I think Jaq's right. This isn't a case where one thing covers everyone. I know people who have divorced for lots of different reasons, I know where people have broken up for other reasons. One of my friends broke up with her long term partner (of around 18 years) and he still sees both his children and helps provide for them. Another one who is currently divorcing him and he hasn't even called the children since he left...
Both men and women cheat - it doesn't mean that it's going to happen because they are divorced. Whether they cheat has nothing to do with that.
I do worry about some of the generalisations you have had installed in you....
You need to meet someone and fall in love because they are the right person for you. It doesn't matter if they are male/female/non binary or white/dark/blue or Christian/Hindu/Pastafarian What is important is that they treat you with love, honour and respect. That's what matters....