In what state are County X and County Y? When you say that your "divorce occurred in April of 2017," what does that mean? Is that when she or you filed for divorce? Or is that when the divorce judgment/decree was entered? Or something else?
What other state?
Quit claim deed for what, and what does that have to do with your ex moving with your kids? What was the purpose of the hearing in June. To the extent I can understand what you've written, as of June 2018, the court essentially sanctioned your ex moving with the kids and established a location for exchanging the kids for purposes of visitation, and also terminated your ex's entitlement to alimony. All correct?
That's a good thing, right?
She "wants to take the case to next to her"? Huh? Do you mean that she wants to transfer jurisdiction to where she now lives (in the other state)?
If you want "chances," buy a lottery ticket. If you want a useful assessment of whatever is going on in your case, you need to consult with a local attorney.

