Sandy's got it right...
Patience!!
I've done quite a few, and made some painful mistakes along the way...no!, wait! Those are "learning experiences", yeah, that's what I'll call them!
Hopefully I can help you avoid some of the same!
1. Be very careful in your choice of cleaning solutions. The weaker, the better. A few drops of liquid soap in lukewarm water is a good start. Only move on to something stronger, like 409, etc., if you're sure it won't damage whatever you're cleaning.
2. The absolute, highest risk item is a dial glass. Anytime you clean a vintage dial glass with anything more aggressive than gently breathing on it and then using eyeglass tissue, you're taking a chance. Trust me, nothing is more heart-stopping than gently moistening the back side with plain water, gently wiping a paper towel across it, and seeing the paper towel covered with the lettering and numbers that came right off the glass---Fisher KM-60 tuner. Sob!! And that was the SECOND one! The first one I used just lukewarm water and a drop of soap! I thought I was safe with just water! Newer, non-vintage, windex works fine.
3. A special note regarding older radios with bakelite knobs, or bakelite cabinets---Formula 409 and similar cleaners WILL ETCH the surface of bakelite. It's not something you would necessarily notice, unless you started with very nice, shiny knobs. They won't be shiny anymore. Stick with the warm, soapy water.
4. The best cleaner I've found for a metal chassis is a spray can product called Stainless Steel Magic. Thanks to Paul Grzybek at Bizzy Bee Audio for the tip! I've also successfully used most of the spray cleaners like 409, Fantastik, Simple Green, etc. They're all good, and cleaning a chassis is not particularly risky. Don't soak things like transformers, don't use more than necessary, and don't get it inside IF cans, etc. Just wipe thoroughly, and buy lots of Q-tips and cotton swabs, and have a nice selection of old toothbrushes. You'll need them for all the nooks and crannies!
5. Special note: Never use any contact cleaners of any kind on the fins of variable/tuning capacitors. Most contact cleaners are designed to leave a thin film of rust or corrosion inhibitors on metal surfaces after the volatile components have evaporated. This film will most definitely change the dielectric value of the air-dielectric capacitor, and your alignment is screwed. You'll need to use a cleaner to get it off.
6. If you're going to use something very aggressive on a rusty or corroded chassis, like Naval jelly, keep in mind that it will leave the surface color changed, usually to a dull flat grey, so you'll need to do the whole surface if you want it to look consistent. Also, you should remove every removable part before you use it, be extremely careful where you smear it, and be certain to carefully wipe, rinse, wipe, rinse every drop of residue off. My two cents: it's not worth the risk unless you plan to completely strip the chassis of every part, including tube sockets.
7. I know several folks that did the dishwasher thing. Dishwasher detergent is very strong and caustic, and will probably do more damage than you think it will, not counting the fact that you're getting things soaked completely through. A chassis stripped of transformers, chokes, coils...maybe. Any of those thing still on it...probably wouldn't.
8. Don't forget to put a drop of oil on the bearings of the tuning capacitors when you're done.
PATIENCE! This is supposed to be fun, right? No rushing!
I'll try to post a few before & after pics...
Clay