This article has a lot of information about replacing capacitors:
http://antiqueradio.org/recap.htm
It explains how to identify the old caps, choose replacements, and so on.
Unfortunately, you chose a radio that is extremely cramped and crowded under the chassis. Most consumer radios (except for auto radios) are much easier to work on. Anyway, it is what it is . . . .
Testing the radio after each replacement is a great idea. That way, if you make a wiring mistake (common in beginning projects), you will not have to wonder where the mistake was made.
Have fun!
Phil Nelson
Phil's Old Radios
http://antiqueradio.org/index.html