Welcome to the forums -- you have very good taste in considering '63 and earlier trailers. They do come with their problems and can be a black hole for time and money if you don't do your research.
You have a rally not too far from you in October. See this link
. When we first started, touring vintage trailers and talking to owners at an Open House was the best intro we could have asked for.
This forum is a gold mine of info and you'll find a lot of discussion about your desired trailers. Check out the search feature. Also, see The Vap
as good places to start.
Some trailers (like mine) require full renovation or restoration. See this thread
for an idea of the amount of work required. Not trying to scare you off, but it's good to be realistic.
Best of luck in your search,