...If you're not sure how to do something, then you should probably ask some questions, maybe read an article/book or 10 on it, figure out how its done, and assess whether you have the aptitude/patience to do it. How would anyone ever learn if they just say I don't know how to do something I probably shouldn't do it. lol
The procedure is quite simple. It is just necessary to have the right tools.
Gear Install tools Toyota < Tools
cryo 488 elocker < Write up of an install
Gear Install Harrop < list of installs available to read about
I wouldn't suspect diff unless you had gear whine/noise... especially whine/noise that could be played like a fiddle when getting on/off the throttle. Vibration I would suspect driveshaft or wheel bearing.
I'm simply reading what the OP stated. If he is unsure what to call something and thinks that just pulling the carrier and swapping bearings is like changing the wheel bearings, then he is terribly mistaken.
Can it be done? Yes. BTDT. I started out ignorant, then graduated to slightly smarter, then to stupid, then to wise.
He has a family and needs something reliable. Did YOU get your first R&P done correctly the FIRST time? Odds are, no. What I'm getting at is ignorance is no excuse to just go buy tools and jump into something you're unprepared for.
I've done enough diffs to know it is NOT my forte' and I have the tools. I just don't have the patience or the time. I can do engines, wheel bearings, cooling systems, and DS in my sleep, but I am smart enough to pay someone else to do my diffs.
If the OP does not even know the other issues that it COULD be, in a proper diagnosis, then he SHOULDN'T be trying to rebuild a diff, because even if you give him the tools, can he PROPERLY interpret a GOOD paint? Or is it good enough? Does he know what the toe of a ring gear is? Where is the heel?
Ignorance and stupidity are two very different things.
Ignorance is that you don't know and have not been shown how. It's OK to be ignorant.
Stupidity means that you have been shown and still choose to move forward in a manner that you don't fully understand how or why or it creates a direct risk for you or someone else. You can't fix stupid.
I'm much wiser to know my limits.