You've got some great Vets giving you advice here, in my opinion.
I'll add my 2 cents since our sitchs are somewhat similar.
My H is moving out soon but we are NOT separating our accounts--I wouldn't advise initiating this conversation. Since you make more $$ she may be happy w keeping joint accounts for now.
My H is having an EA with OW at work. Currently they are on a semi-break (NC outside of work, which is new as of 2 weeks ago). I think you & I both would be naive to think that the OP is out of the picture by a long shot.
About the kids- I have 3 boys & they are going to live with me only (H is setting up own little aptmt where boys are NOT visiting). H will visit in our home. I think you should hear her out about her opinion about kid visitations BUT you seem to have the kids' best interest in mind--she will have HER best interest in mind, so continue to lovingly stick to your convictions about what is best for THEM.
-Only my 2 cents (maybe 5)!
M- 18 T-21 S-14,11 & 10 BD 6-18-2012 (OW-EA) H moved out 11-3-2012 10-5-13 Me- I want a divorce. I want to move on w my life. 11-25-13 Jointly filed.