Our current dilemma. When our lo is old enough for school, do we move and buy a more expensive (not necessarily bigger) house in a better neighborhood or send our lo to private school?

Details:
The schools in our area are horrible.
It would be a heck of a drive to get to a private school.
We have paid down our current mortgage significantly since we bought it 6 years ago.
We would have money for a down payment.
With a private school, you know exactly what school they will go to (not worry your district will change each year).
You can't pick your neighbors.

What would you do?