Asking if she had a good day at work doesn't need to get complex. You don't need to ask everything. That would be hovering. Just short and sweet.
"I just don't want to make her uncomfortable in our home when she comes home and I am there."
It's your house correct? Here's a reality check. She's with another guy. You're not the reason why she feels uncomfortable. It's her guilt. Seeing you triggers that guilt so as a defensive mechanism she tries to push you away, either with words or emotions.
"She says I linger and she gets uncomfortable cause of the OM as well. Which I asked her about last week, but thats a whole other post."
Do you hover over her? Don't do that if you do. Again, read my paragraph above.
"I offered to take them to her parents house but instead without asking me let me have them overnight to spend more time with them."
No she didn't "give" you the kids. She just wanted more time with the OM.
"Then I was offered the whole weekend returning them on Sunday a day before her Bday. So now she can spend all weekend with OM."
See?
"Having a good time with my kids is my only concern."
That's the main point. Take them somewhere that you've never been with your W. Someplace that she might have objected to. This is your chance to give your kids the memory of a lifetime.
"Now I asked earlier should I leave my ring off or put it back on showing I am still committed to repairing this. "
Again, this is a personal choice. But do it for you and not for your W to see that you're still in this.
M-43 W-40 2D - 9 and 5
Emotion, yet peace. Ignorance, yet knowledge. Passion, yet serenity. Chaos, yet harmony. Death, yet a new life.