Husband using Omegle?- update

So, the other day I was on my husbands phone and noticed he had been snap chatting a name I didn’t recognize named Braelyn. When I asked him he said he had no idea what I was talking about. After arguing, he admitted that he had been talking to strangers on Omegle and that he would sometimes get their WhatsApp or Snapchat to keep talking to them. I am very sketched out by this whole situation and dont know what to think. He says he wasn’t doing anything bad but obviously there is no way to know for sure because he was using Snapchat and it deletes your messages. He said he was initially using omegle to talk about his anxiety issues he’s been having. What would you do? Our relationship has been rocky and I honestly don’t know what to believe. He sounded sincere when he apologized but this is an uncomfortable situation for me.

Update: I just found out he was on Ashley Madison too. Like recently. Idk wtf to do. Like I told him I’m basically in a shitty place where I either divorce him and then I’m punished by losing 50% of my time with the kids for custody or I stay in a shitty marriage just for my kids. I have 2 toddlers and I’m currently pregnant. I don’t know whether it is better to set the example for my kids of having standards and not accepting less than you deserve or trying to stick this out. My world is just like completely rocked. He claims he didn’t actually (digitally or physically) cheat but that he did message women. I told him that having the account at all was cheating. What am I supposed to do… I’m so worried about my kids. I never wanted this for them.