Welcome Bandolero, and I'm sorry that you find yourself here. You are however, in good company.
I wish I could offer you more than a pat on the back right now. You've been married 5 years and have cheated through most of them, even when your wife was pregnant. Whether or not you can save your marriage is a question I can't answer for you, however I can tell you this much. This relationship, or any other you may have, is going to continue to be at risk until you fix what is broken inside of yourself. The only constant in this equation is you. So that is where you must start.
Why do YOU think you had so many affairs? Was it really just about wanting sex? Or was sex the excuse for a deeper need? Did you need someone to validate you, to comfort you, to make you feel special and wanted? Did it make you feel more "in control" or more like a man? Did it simply take away from all the responsibility of being married and being a father? Did you feel entitled (e.g. I deserve affection and intimacy and since my wife isn't here to do it for me, I'm justified in getting it where I can).
One thing my wife said to me shortly after finding out about my affair was that I clearly did not love or value myself. She was right. Those words have been the basis of my recovery, and many other waywards have discovered the same thing.
For now, I suggest you start with some basics. There is a book called "How to help your spouse heal from your affair". You can buy it online or if you Google it, it can be found for free in PDF format. It is a very quick read, just 2-3 hours for most people, and it is "no fluff", just what you need to know in order to help you give your spouse what they need in this painful time. I suggest you start there.
There is also "The healing library" which you can find in the top left of this website. Read the sections for both Waywards and Betrayeds. Hopefully you will begin to find some answers there as well.
Lastly, if you can, please find a good therapist, and begin to explore what it is about yourself that allows you to keep making these poor choices, why you lack healthy boundaries, and have poor coping skills. Once you understand your own motivations and needs, it will go a long way towards helping you heal.
Once you are no longer someone who is a danger to the marriage, then maybe you can begin to go down the road of trying to save it.
To put this in terms you might understand better, if you see an enemy soldier with a live grenade in his hand, and he wants to talk about trust between you both, the can really be no trusting him until such time as he puts the grenade down, and stops being a threat to you. The same goes for your marriage. You must first become safe. Otherwise, why would anyone even consider it?