If I had to pick form those three I would say royal Purple. However, I run AMSOIL in the engine and will be swiutching to that in the rearend also when I change it. In the tranny I run regular Dextron III Mercon fluid.
Amsoil all the way for the past 3.5 years and haven't looked back since. Its more expensive, but cuts the number of changes in half so it works out to be the same w/hopefully better returns.