First of all make sure you know the safety precautions for dealing with high voltage and CRT's...there is some good info at this site which mostly deals with modern TV's but all of the CRT/high voltage/capacitor discharging issues still pertain to old sets:
http://www.repairfaq.org/sam/tvfaq.htm
It is a good idea to have the Sams photofact folder for the set, this has the schematic and photo identifcation of the components.
All paper and electrolytic capacitors should be replaced....usually replacing the caps, replacing any bad wiring, and adding a fuse in the power line will get it working. If not then you can do some more advanced troubleshooting. It's not worth any time to troubleshoot problems with the old caps in there as so many of them are likely to be bad.