Well, you've got to change something.
The hardest, but cleanest, thing to do would be to start divorce proceedings. You can tell your husband that after the first cheating episode you made it clear that one of your boundaries is that if your H cheats you will leave the marriage. The credit card bill clearly shows that he has violated that boundary. Therefore you have no choice but to file.
If he pleads for you to give him a second chance for the sake of your child, you will need to lay out your conditions. I'd suggest that your H change jobs so he no longer has to travel overseas. If he is unable to do that, then ask yourself if it is possible for you to go with him. If it is possible for him to rework his job, but it will take him 6 months to a year to do so, you can decide if you are willing to stay together in an in house separation or as a married couple while he works these things out.
There are a lot of women who can forgive one affair, but very few who will stay with a habitual cheater.
The hardest, but cleanest, thing to do would be to start divorce proceedings. You can tell your husband that after the first cheating episode you made it clear that one of your boundaries is that if your H cheats you will leave the marriage. The credit card bill clearly shows that he has violated that boundary. Therefore you have no choice but to file.
If he pleads for you to give him a second chance for the sake of your child, you will need to lay out your conditions. I'd suggest that your H change jobs so he no longer has to travel overseas. If he is unable to do that, then ask yourself if it is possible for you to go with him. If it is possible for him to rework his job, but it will take him 6 months to a year to do so, you can decide if you are willing to stay together in an in house separation or as a married couple while he works these things out.
There are a lot of women who can forgive one affair, but very few who will stay with a habitual cheater.