Not sure you're trying to get caught because when I was married and well into this scene and started taking more risks too it seemed that I was just getting overconfident and believed she was so clueless that I really WAS Supaman!Didn't get caught, but there were comments about becoming emotionally connected to other women and the constantly working late and all led to accusations of "leading a double life" etc.
DO know that you're risking lots more than I was as there weren't children involved and I knew the relationship was dead just hadn't actually been buried yet, so I didn't feel like I was risking a lot.
You are.
Get a grip on the reality that as has been pointed out here already, if/WHEN you are caught and it all blows up your children will know and resent what you did that destroyed the family they were growing up in. Good luck even having a relationship with your children at that point and just forget about ever earning their trust back.
It's not about keeping your relationship with their mother going or pretending that your primary relationship is better than it is, that's pretty clear it's got serious flaws that have gotten you to the serious pursuits of other ladies.
And, it's really not a question of whether you want to or can get psychoanalyzed to figure out your risk taking behavior, IMHO, it's really about the exposure you've created with potential life long consequences for you and your relationship with the children. And, as long as they're minors, the ongoing contact with their mother if the marriage ends because you'll likely share some joint physical and legal custody arrangement.
For me, there's not a lot of deep introspection or professional insight required -- the attention of lovely ladies who treat me with 100% positive feedback far exceeded the marriage that was failing.
Bottom line: Keep going down the road you're on with the patterns you've shared here including risk taking that's nearly mind blowing to consider and the real possibility is you're gonna live with a lifetime of regret, as will your children. Best thing you've got going for you is you've not only noticed your own bad choices of risk taking but have really admitted it and now it's just a choice of whether to change it.
Good luck in sorting out how you wanna proceed, it's a bitch.