uk the juggle you elude to is very tricky. I agree that in-house separations complicate detaching. No question. I've told others here that were physically separated that they have it a lot easier than they think. (Those in both circumstances always think the other is easier.)
Be upbeat. Pleased. Positive. Present. Don't start conversation, but don't ignore her. Don't follow her around the house, but don't run from her if she comes looking for you. Be completely plugged into the kids. Remember, detachment is not mean or unkind. Reread the detachment thread so you are ready for her return.
Same with D's birthday. Don't be cold to your W, but don't be overly engaging.
This is all an art not science. It is difficult to juggle. As you get better at it you'll know.
M(53), W(54),D(19) M-23, T-25 Bomb Drop - Dec.23, 2017 Ring and Piecing since March 2018