Yes, lots of kids go through multiple moves. However, not many have to endure the kind of hatred and abuse Barron is likely to face in a new school.
Homeschooling is a great option. Study and then have his friends come by to play. Surely some staff members have children his age.
My late husband went to 22 schools in his 12 years. It did inot seem to bother him since he was the most intelligent student in the schools. We sure do miss him and our daughter who died 2 years before he did. Then, add 4 years at MSU.