Don't worry about the charge stored in the CRT bulb, it won't kill you only give you a fright.
Its is not about the high voltage, its is about the stored energy. In a crt that is off, the CRT', depending on size, can store from 10mJ to 1J, the latter being the massively large color CRT screens.
A typical 9" monochrome VDU it is about 30mJ which is about the same energy as a single zap from a lawnmower or car spark plug. These don't kill people.
A farmer's electric fence , that can dump about 3 to 10J into a cow or human, and that is extremely unpleasant, but doesn't kill people or cattle very often. I once received a 10J shock on a farm also while standing on wet ground, the shock was very nasty (brutal) and much more potent than anything a charged CRT can deliver.
A charged CRT dissipates the bulb charge in a day because the silicon EHT rectifiers have non zero reverse leakage and color sets often have a bleeder resistance which discharges the CRT bulb capacitance in less than 10 minutes. Zaps from stored charges in CRT, after the VDU is de-powered, give people a fright, that is all, but it can make them drop the CRT if they are carrying it, or perhaps gash their hand on a sharp metal object when they rapidly withdraw it after a zap.
I was carrying one once, got a zap from the anode connection, but I knew it was harmless and therefore maintained my composure I didn't drop it.
But the you-tubers who think they know better post all sorts of nonsense showing sparks when they go to short out charged CRT's making out it is fearsome danger, but like I say, little different than those from your lawnmower spark plug or car, in terms of the delivered energy for a single discharge and a fraction of the typical Farmer's electric fence. And there is all sorts of rubbish on the internet about having to discharge CRT's before you work on VDU's. Complete nonsense. If you don't go under the rubber anode cap (which is not required for most repairs) you cannot come in contact with the charge, it stays trapped in the tube, it cannot exit its base pins. And if you wait a day with the set turned off, the charge has dissipated anyway.
I have no concerns at all about CRT bulb charges and merely regard these in a similar manner to other sources for one off electrostatic shocks and discharges and have been working on CRT gear for over 50 years, but....... there is danger:
Inside a VDU or TV, especially one that is powered, the dangerous part is when it is running. There are line power voltages inside it (115 or 230V) and there are B+ supplies of up to 400V in some cases. And there are often voltages in the order of > 100V on the CRT's neck board. Many of these supplies can deliver over 30mA continuous current and exceed the high danger zone for cardiac arrest or arrythmias.
So when the VDU Is powered be very mindful of the dangerous voltages, much as you should if you were working on a vintage tube based radio or guitar amplifier. Also be aware that the main filter caps in the SMPS in a VDU or TV can store their voltage and charge for some time after turn-off and these large capacitances (unlike those of a CRT bulb) can definitely store enough energy to kill a person. For example, a 470uF capacitor charged to 320V stores 24J of energy, not only is that nasty and likely throw you off your chair, it is risky. Be careful, especially if the TV is powered, or immediately after you switch it off because of the charge in the SMPS's capacitances, and even when it is off, you still often have line power entering the set and headed to one side of the on-off switch which might have exposed connections. Leave the set off for at least an hour before poking around for passive tests, this makes sure the SMPS caps are discharged. All of these concerns of course apply to pretty well to any line powered appliance, not just VDU's.