If turning off the AC works, then it's because the belt attached to the AC compressor is a little loose. After it warms up and expands a little, the squealing stops. Still, there's no reason to have to do that - the proper belt tension should stop all squealing, no matter what temperature.
This problem everybody has is absolutely belt tension. If simply tightening them, "doesn't work" then loosen them and start over as if you were putting them on for the first time. Tighten each side a small amount in turn. Don't tighten one side all the way, then the other side. I seriously doubt the problem is caused by the tensioner, but it's always possible. Before spending the money on that, just try to re-install the belts again. Or have somebody else try it.