If you have the gumption and the test equipment needed you can try and repair them yourself. There are plenty of old college texts on TV repair - this used to be a integral part of the electronics curriculum back in the day. Outside of the tuners that are a pain to service or get parts for the old style TVs are relatively straight forward to service.

The previous posts explanation though correct is inaccurate - best to get a book from the library and do some scrounging for the TVs electrical schematics - if you can dig up a copy of a service manual then all the better - Don't trust the Wiki.

1 - This is a problem in the vertical deflection circuit. If you are lucky its only a leaky capacitor or bad resistor and if unlucky may be the flyback transformer itself.

2 - This one is not as bad it seems. Again its a failing component but this time in the horizontal hold section of the circuit that is drifting into failure. it will be one of the dozen components in that section of the circuit. Again a schematic and / or service manual is a great asset.

Now the test equipment you will need will basically be a multimeter and an oscilloscope. Component testers are nice to have but not a needed requirement. You just have to have some idea at what you are looking at.

If you are not a hands-on electronics person - and that 15-35KVolts on the tube/flyback does make some people nervous - then finding an old time TV repair person may be the answer, but good luck finding one these days, most are retired or doing tube sets as a sideline these days.