The answer is as follows:
You have an attorney. The fact that you (apparently) "file[d] a motion for primary physical custody" without discussing how to persuade the court to grant the motion is beyond unfathomable but, if that is, in fact, true, then you need to have the discussion. Your attorney knows all of the facts of your case (including where you live now, which you didn't share with us) and (presumably) is familiar with the proclivities of the judges in Stafford County or the particular judge who will decide your motion.
For starters, we cannot evaluate whether it's "worth it" without knowing the cost and at least something about your ability to pay. More importantly, what did your attorney say when you asked him/her this question? Do you suppose your attorney would have suggested this if he/she didn't think it was "worth it"? Why do you want anonymous strangers to second-guess advice from your attorney?
All of the foregoing aside, I would expect that the mere fact that one or more schools in County X are "better than" your child's current school in County Y (whether subjectively or objectively), by itself, is not going to be sufficient to justify a change of custody. Is your child having problems in school?
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