If you are going to let your day work on the radios, the first two things to buy are an isolation transformer, as some of these old radios had a live chassis and can be dangerous! - and as far as the Variac (autotransformer), keep in mind that these old amps and radios ran on 110V, NOT the 120-125V that is common these days, and some of the old equipment doesn't like the higher voltages, so that is another use of the Variac, to cut down your main household line voltage to the 110V that was standard back then.
Yup - the good old DC-DC power supplies.
Many many old 5-tube American classic radios are that way.
It's one reason they have WOOD cases and polyboard backs on them.
Safe enough to work on if you KNOW that, and yes, an isolation transformer is your friend on the bench.
Agreed about the 110v.
The 10-15 volts higher does not often matter, except in the transmitters where that incoming 110 voltage is stepped up to 800-900 volts.
Then you can be 100-200 volts higher.
Most of the rest of the time, it's that the original capacitors _might_ not have been rated highly enough, though it's rare. Most engineers back in that day were allowed to rate the caps at 200v.
Nowadays, the beancounter/stock price/profit managers would stop an engineer from 'overbuilding' like that, and the caps would be rated for just a few volts more than might be anticipated.
Changing topic from tube to modern, but sticking with capacitor issues - read this:
http://en.wikipedia.org/wiki/Capacitor_plague
That's a widely known phenomenon-
I have seen more than 100 Dell GX-270 systems from the mid 2000s get that issue and had to have Dell swap all the motherboards.
I just bought a Samsung 40" from 2009, at Good Will for all of $40, with that very issue, and fixed it for $6.50 in just four capacitors on the power supply board.
Took me 30 minutes to fix it.
I have a 55" Visio TV in the car right now that I paid $10 for, and am hoping it has the _exact_ same problem and can be fixed just as cheaply!
There's a TON of electronics that was hit with those bad caps from Taiwan...