Your hardest task, will be correctly setting up the pinion depth, it might take a couple times to get it right. What would be a good idea, is to get another inner pinion bearing, and hone it out a little, so it will slide on and off the pinion gear, otherwise if you have to reshim, there is a good chance of ruining the pinion bearing when removing it.
Unless your given a pinion depth spec to start with, mic all the current shims on your pinion and use that as a base measurement.
Put the shims on the pinion then slide the honed bearing on, put the pinion in the carrier(no crush sleeve) put the outer bearing on, the yoke, and use the old nut(if threads are correct) and tighten it to the correct spinning inch pound spec.
Next install the carrier set preload and back lash, mark the gears and get a pattern. here is a link to set carrier preload and backlash(since you have no spec, I'd use .007-.009).
http://www.lilzeus.net/gear_preload.asp
Use the instructions you have to see a proper reading. This web page also has a good clear picture
http://www.drivetrain.com/ringpinioninstal.html
After you have a pattern, you will know what you need to do next. If you have to adjust the pinion depth, take it all apart and re follow everything again.
If the pinion depth is good, take it all apart, remove the honed innner pinion bearing, put on the new bearing, install the pinion seal, put the crush sleeve on the pinion, put the pinion in the carrier, outer bearing, yoke and new nut. You will need some sort of yoke/flange holding tool, to get the crush sleeve started. Once it starts to cruch and you get close to the pinion rotating inch pound spec, tighten a little at a time and keep checking the inch pound spec so you dont over tighten.
you will need minimum a magnetic base dial indicator and either a inch pound torque wrench or spring(fish) scale.
Follow the video the best you can. R&P's are very intimidating, but they are not *that* hard. It is important though, that they are set up correctly.
Good luck
If anyone has anything to add I might have forgot please do.
Oh, dont forget Loctite for the ring gear bolts.