I've opened and cleaned or repaired PSU's many times, even the old large L shaped AT's.
If its been sitting for a couple of days then in my experience you are pretty safe.
Generally you can just get a multimeter and touch the probes to the cap's contacts on the underside of the PCB to discharge it. You should see the voltage drop as the cap discharges, quite quickly. I usually just check the largest caps, usually only two or three of them.
I wouldn't use a screwdriver as you run the risk of it arcing, sending sparks onto your skin or your eye, or melting the screwdriver if its small enough.
However all the PSU's I've opened haven't had any dangerous charge in them. If you're worried, get a pair of insulated gloves.
I read somewhere that most power supplies used in PC's, even quite old ones, have bleeder resistors in them to drain caps almost instantly after the power is turned off. Some cheap chinese ones lack these though.
CRT monitors are very dangerous, they can store huge voltages for a long period of time. They're not to be trifled with unless you're sure of what you're doing. But I think PSU's aren't so bad as long as you take a couple of basic precautions.
If you are squeamish, don't prod the beach rubble.