To be honest with you, I think the danger is not all that great. If concerned, measure for voltage with your VOM. I doubt there is any, but it won't hurt to find out.. If you do find several hundred volts. Then take a resistor with a good set of insulated pliers and put it across the terminals. It will fall in in hurry. I have just used a screwdriver too. Might not be as good for the cap, but I can't say that I have ruined any by using that method.. I have repaired and worked on electronics for around 50 years.. Including many lethal circuits. but a cap disconnected from a circuit never worried me all that much.
Not sure the cap is your problem ,but ,I'll answer the question about the cap... I discharge mine with a screwdriver,etc, To test,,, set the volt meter to ohms scale. connect to the C and to fan terminal.. then move to the herm terminal Your meter will also discharge the cap.. It will charge it and discharge it.. To read what the cap is putting out, you need a cap tester
There can be quite a high charge left on a capacitor if you happen to disconnect at the peak of the mains cycle.
It's often enough to give quite a loud crack when the screwdriver blade touches both terminals. It can certainly make you jump and may even erode away a bit of the capacitor terminal (and your screwdriver). It is the easiest way though.
Many homes do have a low value resistor that is capable of discharging very high currents - the heating element in an electric tea kettle (with the switch on).
One other point if you are checking with a voltmeter to see if a capacitor is charged :
Although in use the capacitor is on an ac supply, once you disconnect the supply you will need to set the voltmeter to read dc voltage to check for any remaining charge.
Like others say lay a screw driver on it. There are capacitors made in America that I suggest over china maypops. They are Titan HD capacitors. China capacitors are garbage.
Attached a photo of a nice capacitor blowout for your entertainment.
Thanks for the info. I THINK the repair guy checked the voltage with his meter and the used a screw driver to discharge what power was left.
Since I don't need the heat pump until it gets hot again, I have some time to look at the problem myself. The capacitor is cheap enough to buy a new one, and after the first on died I meant to buy a new one to keep as a spare. I will look at the Titan brand.
Thanks,
Dan