The last price I saw to do the rear bearings was around $299 from Van Steel
in Florida, Baer in Pennsylvania, and there is another shop I can remember
right now.  They advertise in most Corvette magazines.   That is $299 per
trailing arm.

For comparison, if you mess up the spindle while trying to remove the
bearings on your own, the new spindle is $140.

The bearings and seals are $60 for both sides about the best price anywhere
and if you buy them local, expect to pay about $75 per side.

You will need a spindle press.  The bolt-on ones sell for around $150 and
usually work if the bearing hasn't melted as far as getting the spindle out.
IE, you are doing preventive maintenance, not repairing one gone bad.

Then there is set up.  It is critical. You really need a setup tool so you
can put bearings in with shims, check, then re-shim until you have the
proper clearance.

Getting proper clearance is an art. I could tell you, but I would write a
book with directions.  It is time-consuming.

You really need the trailing arms out to do it right, so by the time you get
them out, you might as well send them out to be done right by the experts.

However, if you are an above average mechanic, you can do it. I'd recommend
going to the Corvette Forum and searching on wheel bearings.  One guy had a
very detailed and photographed journal of his trials.

BTW, ignore the grease fittings installed in the back or between bearings
option. It doesn't work. It is a recent fad by some places claiming you
never have to take them apart. There was a guy here who figured that out 30
years ago, and never took a patent, since it didn't work. You know that if
it had, he would have because of the money in Corvettes and Corvette ideas.

Good luck.