Sounds like you might have a self-biasing amp - which is nice. In some amps you need some test equipment and some know how to do the biasing; ALSO, BE VERY CAREFUL WHEN TRYING TO BIAS OR DOING ANYTHING INSIDE AN AMP - There can be lots of voltage inside amps and it can be DANGEROUS AND POSSIBLY LETHAL. BEST TO CONSULT THE MANUFACTURER IF YOU THINK YOU NEED TO BIAS AN AMP.
Tube testing is somewhat easier and safer. Shopping for tube testers is a trip all by itself. Tube testers like tubes were manufactured quite a bit more in the past than the present. You can type in "tube tester" at eBay and find a small ton of them. One of the most popular brands was Hickok. This web site will tell you about various models:
http://www.tubetesters.info/index.shtml
Tube testers often had tubes inside them and they generally needed to be calibrated (perhaps every couple years or so). So, unless you get a calibrated tester you might not be measuring with quite the accuracy you would like. There were some solid state models made toward the end of the tube tester era that might be worth looking into.
Testers can go for a few hundred dollars or more and the testing process is a bit time consuming and tedious. The price reflects the condition of the tester and also the types of tubes it can test and the tests it can run.
One of the more popular high end models was the Hickok 539C; if you get one of these in good shape and you get the manual, you can pretty much teach yourself the process. If you want to quickly figure out pretty much anything about tubes testers, testing, or tubes try the tube forum on at
http://www.audioasylum.com; there are lots of people there with a ton of knowledge (and opinions, so be careful), and they will generally be very helpful.
I know one audiophile who tested a bunch of tubes and carefully marked the test results on small labels or at least identified each tube with a small label and then recorded the test results on a piece of paper. Years later his investment in primo tubes had appreciated quite a bit since tube prices have definitely gone up over the years; but when he went to sort through his tubes he found that the labels had lost their adhesive and fallen off the tubes. If you are really into it I think you need to have a numbering scheme and label each tube with a unique number using a permanent Sharpie and then enter the test results and listening comments in a spreadsheet. The alternative to all this is just take your chances with highly rated sellers on Agon and eBay and skip the expense and time required to test. On the other hand, if you have the time and money, it can be another fun aspect of the audio hobby.