Can you guys explain what is so disadvantageous about me moving out?
The family home is the castle. The marital bed is the throne. Cede either to your W and she will have even less respect for you. To make matters worse, she may quickly have an OM visiting and doing overnights in YOUR house sleeping in YOUR bed. Or she may very well move OM right in. We've seen it happen before. How would you like going to your house to pick up your kids and having OM answer the door in pajamas with a drink in his hand? I really hope you have more respect for yourself than that. If she can't stand you then fine, SHE can move out. That's her choice to make.
Also the family home is the "safe place" the kids need during this rough time. You will have to be their anchor because your W will probably be a loose cannon for a while. So be their anchor in their safe place.
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Although she thinks I don’t do enough around the house I think she’s in for a rude awakening on her own.
It is a classic LBS mistake to move out thinking it will "wake her up". I assure you that is not how it will play out. She will like having you gone, but at the same time she will resent that you are still not doing enough. She will expect you to mow, fix things, etc. all while she plays house with someone else.
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Also, one of my buddies was 2 weeks from his divorce being finalized when he reconciled, he said him moving out and them being apart made them realize what they had. Sample of 1 I know.
I'm sure that's true, but I've been here a long time and I've never seen it play out that way. More often that not it backfires.