Sorry to post again on this subject but it's a pet subject of mine as I started my career rapairing TVs and then computer CRT devices (including computer vector displays!, showing my age here)
The advice about discharging monitors is incorrect and dangerous. Monitor techs do NOT discharge CRTs before working on a monitor UNLESS they are going to do one of the following:
Replace the CRT
Replace the flyback transformer
Separate the CRT from the main board for any reason.
It is a dangerous process! It is perfectly safe to leave the charge in the CRT as it literally cannot escape unless you dive under that CRT rubber cap. The charge cannot be distributed onto the main board because it is prevented from doing so by tripler diodes sealed into the flyback molding. (otherwise the charge would quiclkly drain away through the EHT winding on the transformer). So don't do it!
BUT beware! Monitors have plenty of other nasty voltages around that ARE stored, in various capacitors on the main board. These are not discharged even if you do discharge the tube. So always leave a monitor with power off for as long as possible before handling the main board, at least 15 mins and preferably an hour or two.
Whenever I did need to replace an actual CRT tube, I used to hate discharging them, and got my fair share of whacks, when the screwdriver picks up the voltage and arcs across to your hand instead of the chassis! So dont do it just for handling the monitor intact. Think of it this way: A car mechanic does not drain the highly explosive fuel in the tank just to work on a car engine, he would do so if replacing the tank though.