Howard Soames' "Fab" (Paul bio) mentioned a detail or two about the schooling of Paul's children, if memory serves. I'm pretty sure that Paul made a point of sending his kids to a regular school, so they could be just regular students among many.
Speaking personally, I have no idea where any member of the royal family attended school - Liverpool Art College? West Beverly Hills High? Brooklyn P.S. No. 33? Maybe Hogwarts!