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taragarten first off you are good people. If I could humbly offer some ideas to you.
You are in a tough spot being a cross dresser who is hetro. It is unual because a lot of the women you talk to would probably want a more traditional gender role relationship. As a non-cross dresser I have no idea of how to explore this with a woman and have no useful advice for you other than find other hetro cross dressers and have some convesations around how to present that to a woman.
Beyond that a woman with kids is complicated. I had a GF at one point that I lived with decades ago that had a kid. It is complicated and my strongest point in that relationship was that I was super normal / vanilla and my gf at the time ony had to qualify to her daughter that mommy is dating.
With you it is a whole different level ---she has to explain both that "mommy is dating" and 'mommy's boyfriend likes to wear dresses too" That is whole new level of complexity . I can say with conifdence beyond finding a place to live in the back of her mind she is thinking about this much more than where she wants to live. --also as a footnote a woman with kids who wants to move far from her home may be running from her ex-which is a whole different can of worms.
The biggest thing you have going for you is you do well in terms of income (saw you house and red harley on another thread a while back) but it has a double edge sword to it to--you are magnet (as well as anyone who does well financially of either gender) to women who see you as a ticket out of poverty.
I don't know this woman on FB and certainly can' help you with a judgement call and you don't have to answer on here but you have to figure out or discuss
1) why does she want to leave her state at all ? how does the dad feel about that idea?
2) How will she explain your cross dressing to her children or is the plan to "hide that part"
3) How is her career going? can she pull findancial weight too or are you a meal ticket?