RE: what size shims for diferential on 8e series
Im having trouble finding the part #, but there is a shim Kit (i think its listed as for the avalanche) which has all the shims you will need.
The pinion gear as well as the larger ring gear bearings may require shims. the kit has both sizes.
There is youtube videos explaining how it is done (may even have part # in video)
Just search 8e diff shim.