In your area, you'll probably find more vintage TVs (and thus TV restorers) than anywhere else in the world, so shop around. You could also contact area radio/TV collector clubs and ask for recommendations. Here's a list of clubs:
http://antiqueradio.com/clublist.html
As kamakiri mentioned,
restoring a 60-year old TV is vastly different than repairing a 6-year old TV. It includes time-consuming tasks that the average person wouldn't think about.
For instance, say a TV has 20 tubes. Of course, you need to check all 20 to find out if any are duds or weak. In addition, you really should clean every pin on every tube, and clean the socket that it plugs into. Otherwise -- and this does happen -- you might replace all of the capacitors & bad resistors, only to find out that the TV doesn't work right because one pin on one of the tubes isn't making a good connection.
And so on. These tasks are not rocket science, and an experienced guy will do them efficiently, but they all add up. Cleaning the pins and socket for one tube doesn't take long. Repeating that process 20 times takes more time.
When you get repair estimates, be sure to tell the guy what level of restoration you want. That affects how many hours he will spend, and thus how much he'll charge you.
For example, some people want a TV to work, but don't plan to use it seriously. It will be a sort of "show horse" that sits unused 99.99% of the time, and gets turned one for a few minutes, a few times a year, to show off to visitors.
Conversely, some people want a TV as a "daily driver," which can be played for hours at a time, 365 days a year.
Guess which level of restoration takes longer (and thus costs more)?
Also, be aware that 60-year old TVs, even if wonderfully restored, are not as reliable as new ones. Yes, technology really has improved during the last 60 years! Even if restored to the "daily driver" level of reliability, an old tube TV will need periodic maintenance, just as when it was only a few years old.
Phil Nelson
Phil's Old Radios
http://antiqueradio.org/index.html