It's not a case of pack your bags and file for a divorce immediately, but it's reflecting on the kind of marriage you want, it's about knowing you can trust the man who vowed fidelity, who vowed to love and cherish you, till you are parted by death.
To a point everyone deserves a second chance, that's not to say it's wrong not to give that second chance, but you've already given him one second chance. From my experience, what often happens is the cheater gets better at hiding it.
He gets a second phone, secret email account and carries on leading a double life.
If like Carinayou were married 40 years and needed him around for support because of poor health, maybe I'd stay too, although I'd just detach emotionally, so I'd not be bothered what he did anymore.
The length of the marriage is certainly a consideration as well as children.
OP, YOU I recommend a book for your husband called me 'Not just friends' by Dr. Shirley Glass.
Another one is 'How to help your spouse heal from your affair' by Linda Macdonald.
If he is sincere (ironic I know) and truly wants to try and fix this, he'll do what you ask.
Another thing some recommended, is that if you decide to reconcile, you draw up a post nuptial agreement, where any further infidelity means you receive a higher split of the assets in the event of a divorce.
I'm not sure your husband actually realises the devastation he's caused. It's all well and good him crying, but what about your pain, your hurt and your betrayal?
This is your choice. It's your marriage, but in order to help you and the marriage, the changes must come from him. He need to to the heavy lifting and convince you he's worthy of your love.
If you rugsweep, he'll not get the magnitude of what he's done and you'll find yourself repeating the cycle.