Before you go any further, are you sure you know what you're getting into? Why are you pulling the carrier? Are you just replacing the inner seals or are you doing a full gear swap?Yes...
However a buddy of mine who is a diesel mechanic and is familiar with the Dana 60 says the pinion yoke HAS to come out the back before the gear pack will come out the front. Have I overlooked this fact? I can't see that anywhere. I'm not one to argue, but nobody has mentioned it here.
The pinion yoke has nothing to do with carrier removal. If you are doing a complete gear swap, you want to remove the pinion yoke nut while the carrier and ring gear are installed just because otherwise there's no way to hold the pinion gear still. Maybe that's what he's thinking? You can't remove the pinion gear on a D60 without pulling the carrier anyway so I'm not sure what he's trying to say. Even on a 14 bolt where you can remove the pinion housing assembly, it's not necessary to pull the carrier, so I have no idea why he's telling you the pinion gear has to come out first - it's physically impossible to do that on a Dana 60.
In order to get that yoke off you'll need a special thinwall impact socket (Snap-On) or you can take a standard 1 5/16" impact socket and taper/thin the end on a lathe. If you don't have a lathe you can just buy a cheap socket and take an angle grinder to it. if you try to remove the yoke using an unmodified socket, you'll just tear up the nut, so definitely make or buy the right socket just for pinion nut removal. It has to fit in there deep enough to fully engage the flats. Cut a little off the socket, test fit, repeat as necessary.
To get the carrier out, use two prybars - one on top, one on bottom levering against the ring gear bolts will usually do the trick
There's no way to know exactly what shims you'll need until everything has been trial fitted so allow time to make a couple runs to your local drivetrain shop in case you need parts.
Hope you realize what all's involved with this because it's not a simple job. If you've never set up gears before, a Dana 60 is not exactly an easy rear to learn on. Just the basic tools and essentials to do it right are going to cost you about $4-500 and that's not including the new gears, shims, and bearings. If you don't plan on doing more than one or two rears you're really better off and money ahead paying a pro to do the work.
Once you pull the carrier bearings you're at the point of no return, so make sure you are up to the task before you get in over your head. No shame in taking the truck to a driveline shop if you don't have the tools/skills to do it yourself.