Most likely it's dead or dying capacitor(s) in the TV power supply which are stopping the TV completing its start up routine. Google "capacitor bulge" or "capacitor plague".
As long as this is the fault then the fix is simply to replace the capacitors. If you know one end of a soldering iron from the other and are happy dismantling the TV then this isn't a difficult task for a competent DIYer. But if you have to take the TV to a repair shop then the total repair cost will outweigh the value of the TV... by a lot
Used CRT TVs are pretty much worthless now. Many end up on Freecycle. Those that are sold are advertised optimistically for £20-£50, but often change hands for a tenner or less. Sad, but true.
In general, a high voltage charge can be held by only one capacitor - the reservoir capacitor - and you'll see its voltage marked as "350v" or higher. In the (fairly rare) case that it holds a charge for more than a few seconds, the charge is unlikely to be "lethal", although it could give you a nasty surprise. I avoid this by connecting a large 10 Ohm resistor across its pins momentarily.
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