Remove cover. Drain fluid. Remove cross pin. Remove tires and drums. Push in axles slightly, remove C clips. Pull axles out. Untighten side bearing adjusters. You will need the long hex head tool, or make your own. OR, you could just remove the adjuster hold down tabs and the bearing main caps. Keep all parts on the same side same, same direction. Remove carrier.
Get a bearing splitter/remover tool, and remove carrier bearings You can use a press if you have the right tools. Use a press, or a peice of tube the same size as the bearings, to install new ones.
Next, remove the pinion nut and yoke. Use a peice of wood as a punch, and hit out the pinion. Remove pinion seal, and remove outer pinion bearing. Use a bearing splitter/remover to remove inner pinion bearing. If the races look ok, leave them in. If not, use a punch, and hit them out. Clean housing.
Use a race installer, to install the new races for the pinion bearings. Be sure to use the same shim. Prelube outer pinion bearing, install. Install pinion seal. Press on new inner pinion bearing. Install crush sleeve. Install pinion. Install yoke, and slightly tighten down to hold it in.
Install carrier. Install the bearing caps. You can now thread in the carrier adjusters. You will have to mess around with tightening up and loosing each side, until you get the correct gear pattern. No shims on the carrier of the 8.25. Once the gear pattern and backlash is to your liking, tighten down side adjusters tight. Retorque carrier bearing main caps. Install side adjuster retainer clips.
To do the alxe bearings, remove axle seals, use a slide hammer of some sort to get the bearings out. If the break, you may have to chissle or cut out the race. Install new ones. Install new seals. Put axles in. Install C clips, install cross pin. Put cover back on, add fluid.
I may have missed a few steps, but thats the slight over view of the process.