If the kids want to transfer, then transfer... move districts and go to a new school.
The fact coaches and teachers move JOBS is 1000000% irrelevant to this discussion and quite honestly shouldn't be brought up. Coaches, teachers, and students are 3 completely different entities--- never understood why anyone would compare a student to a coach. There really isn't much to compare.
Do you know many students with a mortgagee, car payment, 8 month old daughter, wife, etc?