Well whatever the two of you agree to, get it in writing, and get it notarized before anyone - or anything - moves anywhere.* Most courts see the person who moved out as 'abondonment' and that sets up some pretty serious legal issues. And I know more than one person who found themselves sued for child support long after the fact when the issues of who pays for college tuition comes up (one of them had a daughter accepted at Stanford, any idea what that did to his finances? Hint: he had to sell his house and move into a little apartment, which led directly to his second wife divorcing him, and if you don't think that wife #1 was popping the champagne open for that that then you've never seen divorce up close and personal California Style.). Its a way to get some revenge (on her part, or on the part of her family acting in her interest**) and tie up so much money that you would find it all but impossible to ever transition, it may well end up that it would be all you could do just to keep up with the legal bills and be lucky to afford peanut butter and jelly to live on.
What seems amicable at first can often turn very bitter later when lots of other people start to give her advice, and she has all the cards in this one, particularly when she gets the venue, and its a rural/semi-rural country in Mississippi. Is any court/child services deal in your area likely to give you custody of the kids when they have pictures of you dressed like that? When they have records of all your posts and facebook pages, and blogs? I doubt it. It would be hard here in SF, in Mississippi I bet it would be impossible.
I say that because one of my best friends is a big-time divorce lawyer. She only represents women, and her sole goal in her professional career (in which she has been wildly successful) is to gut ex-husbands like a fisherman guts a trout. The woman with custody of the kids has ALL the cards in this deal.
* - and even that might not work, if she is unstable then any good lawyer can get it tossed out claiming that she was not competent to agree to it in the first place. So that... the more ill she is, (or is seen to be) the more it works out in her favor. A failed suicide attempt would make her very sympathetic to a judge or jury. A successful suicide could make your kids wards of the court, and then the state would go after you for 100% support on the level they deem proper, which could be more than you're even making. And failure to pay could land you in jail.
** - which would be the way the evil side of me would go, have her declared incompetent, have myself placed in a position of guardian or master, then go after you.