Synth is the way to go, if you can afford it. Some people run synth- acutally GM runs synth now standard in the diffs on most newer trucks. Reasons:
- Lower operating Temp from less friction
- Better startup temp (doesnt get as thick in lower temps)
- More resistance to thermal breakdown
- Better Fuel economy.
Reasons Not to-
If you offroad, do a lot of water crossings, and you commonly get water into your diff, then synth, while still better, is a very very expensive option.. around 7-10 bucks a quart for synth, vs about 10 dollars for a gallon for regular stuff.
Recommendations: I run Mobil 1 in the rear diff, and I run regular stuff in my front diff- My front diff doesnt exactly see all that much action other than being offroad, or in snow.
Im running Quaker State Synthetic in my rear diff of my other truck. It was the only synth I could find on the shelf at the time. It wasnt my first choice, but it is still better than conventional- Lower pour point, and higher viscosity at high temps. I dont think you could go wrong using Amsoil or Royal Purple either.