Captain Ned wrote:
Perfect victims on which to learn how to solder.
Seconded. Why not practice on these to see if you can resurrect them? That way you'll be ready if you ever need to repair something more valuable. I'll even send you the capacitors gratis if the ones in need of replacing happen to be ones I've already got on hand (I have a small assortment of the more commonly used types of low-ESR electrolytics, which I purchased back at the height of the "capacitor plague" to repair motherboards and GPUs).
I've been wanting a nice shadowmask 19" CRT ever since mine started acting up
But I never attempted a fix due to the high voltages inside CRTs and their trickier power supplies.
I repaired an old Gateway CRT back in the day. Everything would randomly turn green, and it would go back to normal for a few days if you gave it a good sharp whack. The required frequency of whacking eventually got high enough (multiple times/day) that it was either fix it or replace it. Opened it up, and started tapping on the PCB (with a non-conductive object) to see where it was sensitive. Narrowed it down to an area of a few square inches, reflowed all of the solder joints in that area, and it was fine after that.
Yes, you need to be careful around the high voltage circuits!