The trickiest part is interpreting the gear pattern correctly, assuming backlash is correct, and that there is some preload. too shallow will whine, too deep will whine, too tight of a backlash it will whine, to little it will whine.You get the idea, it only takes 1 of those to be off you will have noise.
I would only attempt it if you really want to learn to do diff stuff, otherwise just save the headache and get a used one as mentioned above, they are 150 bucks at my salvage yard.
You need some specialty tools, such as a magnetic base with an in dial indicator, quality calipers, I prefer analog over digital but thats just me. Lastly you need a beam style torque wrench. Might as well do a solid spacer instead of the crush sleeve while at it.
Last one I did was a ford 88, it has held about 30k miles and its still going.
Quality bearings is a must, Timken for me, you will need 4 pinion bearings so that you can make two set up bearings for the inner and outer pinion, that you can just slip shims in and out without having to re-press them, and the final permanent set, for when you have the correct depth shim selected.
Before any gear pattern check, make sure you have the correct backlash, while carrier preload isn't necessary for the set up part make sure everything has no play.
adding and removing backlash is tedious and you have to play with the carrier shims and it gets frustrating after a while.
Hope that gives you an idea, and most of the time the drive side is always silent if it had a semi decent/perfect pattern, the coast side tends to whine if not properly centered, so take extra time for that if you decided to tackle it.
Lastly if you have a g80 is probably about time to replace that pos, even though ironically I installed a new one in my GM10 bolt. Speak of hypocrites.