You will need several things, which you may already have.
GM Overhaul manual for 1971.
Inch pound Dial torque wrench
Foot pound torque wrench
1" travel dial indicator and mag base
engine stand
Bearing splitter
2 jaw puller
Remove the differential by dropping it out with the crossmember. The diff weights 100 lbs so be careful.
Drain the oil by cracking the cover loose over the edge of a bench.
remove rear cover. Remove the yoke snap rings, if still there and slid out the yokes. You might have to hammer them out if they rolled over the ends.
Stamp the bearing caps so you know where they go back in the same place. These are line honed so don't mix them up. There are also shims in between the carrier bearings and housing. Make sure you keep these marked per side too.
With the bearing caps marked remove them.
The carrier is preloaded so it shuldn't just pull out. If you have a case spreader you can use it to remove the carrier, if not put a box wrench on the ring gear and rotate it until it walks against the housing and causes the carrier to pop out.
Once the carrier is out then use an impact gun to remove the pinion nut and drive out the pinion. Be careful you don't get cut by the teeth.
Clean and paint the stripped housing. I drill and tap the housing for a drain plug too. Not NCRS approved though!
You will have to remove the 4 posi springs to pull out the side gears and posi clutches. "mike" up the clutches to check the wear. Also look at them,you should see the diamond pattern. If the pattern is worn away or you find a broken clutch replace the set. There were 2 types of posi clutches solid rings and later"snowflake" types. The solids are better. I think '71 was around the time they went to the snowflake type to help with posi chatter. They break easier under load. Look at the side gears,called spider gears by some. count the teeth. The small ones should have 10, the large side splined gears could have 16-17-or 18. The 17's are the best. So hopefully you have 10-17's.
You can also count the ring gear teeth and divide the pinion teeth to see exactly which ratio you have.
Follow the manual it will instruct you in the basics. I don't reuse the posi springs,instead I setup using shims to repalce the springs and this seems to work much better. Check th eJune 1979 issuer of Popular Hot Rodding if you can find it somewhere-very good article on settingup posi-tractions.
I'm now tired of typing! This is an outline,there is more to it but if you've worked on other rear ends it shouldn't be that bad to do. If you need a new ring gear I would buy ones made in the USA,like US gear or from Tom's in CA.(US Gear too) some of the vette gears are made outside of the US and sold by distributors in the US. You'll see the difference in price between them.
Post if you have any questions, but I don't stop by here too much.