Legal Question in Family Law in Texas

You can move but if the father files for divorce and serves you then the TX court can make the children move back to Texas.

I would urge you to talk to a Texas attorney before you spend the money and move away from Texas. Normally TX judges like Texas children to remain in Texas.

I would also urge you to consider mediation rather than litigation. At mediation you have a better chance to leave Texas than you do before a judge. Mediation often gives you more flexibility than litigation. Of course it will depend on your spouse.

Good luck!