Don't waste money buying all new tubes. Many of the old ones are probably fine. If you don't have a tube tester, this article explains how to check for duds using an ohmmeter:
http://www.antiqueradio.org/FirstStepsInRestoration.htm
The can-like transformer plugged into your picture tube is a brightener. Those were usually added to squeeze a little more life out of a worn-out CRT. Your CRT may still be usable, but don't expect brand-new performance.
If you skim a couple of the B/W TV articles in this section, that will give you a general idea what's required to get an old TV working.
This page lists some sources for schematics:
http://www.antiqueradio.org/parts.htm
Regards,
Phil Nelson
Phil's Old Radios
http://antiqueradio.org/index.html