Derek,
You will need rosen core radio solder (not acid core) and a soldering gun or iron.
The parts are still easy enough to find if you don't mind using modern components under the chassis. I'd go for tubular axial lead electrolytic caps and leave the original can type installed for authentic appearance. Disconnect them from the circuit. Try to find an electronics surplus store in your town and call them for the parts. You can also get the parts you need from someone like
www.frontiercapacitor.com (I'm guessing that URL).
Try to locate a vintage radio club in your area and befriend someone local. Hobbyists are usually happy to help a newcomer.
There are lots of vintage radio swapmeets around the country as well. Many are a good place to meet other collectors/restorers and buy the parts you need at very reasonable prices.
You could do a google search on AWA (Antique Wireless Association) or Vintage Radio Clubs.
Good luck and have fun.
Rob