I wouldn't waste money on a CRT tester or alignment equipment at this stage. Many TVs can be successfully restored with nothing more than a soldering iron and a simple multimeter (which tests resistance, voltage, etc.).
This article tells how to test whether a tube is a dud using a multimeter:
http://antiqueradio.org/FirstStepsInRestoration.htm
Many TVs come back to life with nothing more than recapping and basic cleaning (tube pins, controls, etc.). If you don't have a lot of spare room or money, I'd hold off on buying stuff that you might not need.
This page lists various TV restoration articles that you might find interesting in a general way, although none of my sets is exactly like yours:
http://antiqueradio.org/televisions.htm
Phil Nelson
Phil's Old Radios
http://antiqueradio.org/index.html