Ryan,
You do not need to remove the center section on a C1 like you do on later GM cars. There are no C-clips holding the axles in. The axles are retained by four bolts on the end of each axle tube just like a Ford rearend. just remove the bolts and slide the axle and retainer out of the rearend. The bad news is that at this point, you have to take it to a machine shop to have the seals changed since it requires the bearings to be pressed off to change the seals.
While we are on the subject of seals, there is a good reason that the seals seem to go away after only 10-20 K miles. The seals that have been sold for the last 30 years or so, have the seals configured incorrectly for use as C1 axle bearings! The original bearings were open to the rearend and had a seal on the outboard side of the bearing with the lip set to seal from the inside out. The current bearings have a dust shield on one side and a seal on the other, but are configured to heep contamination out of the bearing. The failure mode is as follows: The bearing is factory lubricated and will serve well until the bearing gets hot and grease begins to weep out of the bearing into the brake drum area. as the bearing runs hotter and hotter, more grease runs out the bearing until it gets so hot that the seal fails and allows rearend lube to run into the bearing. The bearing now gets the lube it was crying for, but unfortunately, the lube runs right through the dust shield and staurates the brakes!
You can convert the bearings to last a lifetime by preforming a couple of simple steps. 1. pry out the dust shield and discard it. 2. remove the seal and turn it around and re-install it in the opposite direction. 3. install the bearing with the sealed side of the bearing toward the brakes. This will allow the rearend lube to keep the bearings libricated and will make them last a long time! The only tricky part of this is getting the seal out without damaging it, but despair not, a new seal is available from your local auto parts store for a couple of bucks! I have had very good luck with using a small pin punch and driving the seal off by punching through between the balls in the bearing.
There are almost no mechanics or machine shops that are aware of this misconfiguration, and they just continue to install them as they come out of the box. The bearing works OK, but a few thousand miles later, you have a leaking seal again! All of the old mechanics that used to know this information, are either retired or taking a dirt nap.
One other little item that you should be aware of: If you car has the original bearings in it, the bearings are only .90" wide and it will have a .10" spacer behind the bearing. The replacement bearings sold now are a full 1" thick and do not use the spacers. If you use the spacers behind replacement bearings, you will distort and ruin the bearing retainers when you torque the bolts down.
The pinion seal can be replaced without removing the carrier. just loosen the nut and remove the yoke and seal. When replacing the yoke after the seal replacement, remember to put some non-hardening sealer around the splines of the yoke before installing it. There are probably as many pinions leaking from around the splines as there are leaking around the seal! Be cafeful not to crush the crush sleeve any further when tightening the nut back on, as this is what sets the pinion preload. It will take a large breakover bar to tighten the nut with an equally lagre bar to prevent the flange from turning .
Regards, John McGraw