I decided to take a whack at this set while I wait for an order of radio parts to arrive. Thanks to Phil's site, I have a good idea what's involved.
Plenty of nasty old caps to replace.
I decided to try something new and restuff the paper caps. They come apart much easier than I expected - just a few seconds under a heat gun.
Then, I wrapped the new caps in some paper to make a tight fit.
Next, a little hot glue to hold them together. Finally, I reused the old wax plugs to reseal the end.
Not too bad, but it's not much fun either. Now, I'll need to really keep track of which caps have been replaced!
Just one problem so far - it's the HV caps.
First, I have a 0.03 and a 0.005 here while the schematic calls for two 0.05 ?!? They look like the originals though (two in the upper-left)

Can anyone confirm these values ?
Second, I have a couple 0.00047 (AKA 470pF) for the horizontal. Can I use 0.001 instead ? That's the smallest ASC HV cap I've been able to find.