Hi ReaderofThreads,
Welcome to polyamory and the board. You've been through a lot and have every right to be upset.
I see you care very much about about your wife and are trying your best to keep on top of things despite the very whirlwind nature of your wife's choices in ... dating.
Would you like to choose nicknames for your wife and her bf? That is much easier on the other posters here.
I think it was rude of Wife to have cybersex and cheat on you. I also think it is rude she has moved so fast with BF. And now she's off on a several day visit, leaving you home alone to take care of the kids. That must be extremely upsetting for you! Many people would prefer first dates to be for a few hours for the first few dates, then a one night overnight, then after a couple months, possibly a 3 day weekend date. I am sorry Wife is so out of control.
I see, you've made a choice to enlist the frequent input of BF into this crazy transitional time.
This is a rather unusual choice, but since he is willing, that is cool. I think as you read more on poly, you'll see that most poly people do not try to be good friends with their metamours (partners of partners). Therefore, while you say BF is the new man in your life, a partner of both you and Wife, other poly people do not talk to, hang out with, or negotiate poly boundaries with them. It really varies.
The issue isn't what is going on between the three of you. That's triad talk. Like, if you and Bf were in love too, or really really good friends, or sex partners, you'd be in a triad. Right now, Wife has a relationship with you, and a relationship with Bf, that is called a V. You and Bf are the arms of the V, Wife is the hinge. You and BF are trying to make it all work as a team. It's cool... maybe he is helping Wife be more rational, now that they've gotten their rocks off a few times.
Newbie polys usually screw this up, being a good hinge. They get so caught up in NRE, the neglect their former partner for the new and shiny.
Now, my gf and I are experienced at poly, and deeply in love, and not looking for partners as band-aids to patch up our troubled relationship. When either of us gets a crush, or an offer from an attractive person, we don't neglect each other. We are still eager to be together, snuggle, date, fuck, cook and eat together, talk over what is going on in our lives, take care of our household responsibilities. But even when I was new at practicing polyamory, I did not neglect my gf for any of the new people I met. Often I was gladder to get home to her than I was to have gone to any new person, lol. It would have just been rude to neglect her! I have deep abiding love for her, and have learned to not get carried away, with the NRE, or mistake it for love, or think the early sexy happy feelings are any indication the new relationship has potential to be long term.
Well, this isn't a very concise answer but I reckon any poly perspective is welcome for you now.