Wow. My parents have that exact same radio, but they won't let me have it yet!My suggestion besides replacing the caps would be to replace the selenium rectifier to individual diodes (if it has one).
Also, I'm sure it has "live" chassis, so an isolation transformer and grounded 3-prong power cord would be a wise option.
I would suggest going to this website and to their radio forum. I've had lots of help with some old radios and there are some very knowledgable people there.