I agree that monitor repair is left to a professional but replacing a blown fuse can be tackled by an amateur that has some common sense, a bit of knowledge and respect. The capacitors on the circuit board normally bleed off when powered down, the only real danger, and the one everyone warns against is the crt, it holds a charge similar to a capacitor, and that voltage is about 30Kv. I've gotten the blast from it while a tv was running and also when not. When it's not running it's like a big blast of static and when running, well....now that hurts.

So when inside, dont get the urge to stick anything under that rubber cap up high on the crt....if you cant resist, then enjoy the feeling of a short blast of high voltage as it surges through your arm.