Powering System On - Switched Outlets vs Triggers

I'm sure this is a dumb question, but I just thought I'd ask.

I have a Monster HTS5100 that supplies power to my equipment. Like many power conditioners, it offers switched outlets, as well as a 12 volt trigger to power components up. My questions are:

Is one way better than the other? I mean, the switched outlets simply power up components that are left in the 'on' position by supplying electricity, and turn them off by cutting the power. Is this good?

The 12-volt trigger seems to be a friendlier method of powering components on... But how do you turn them off when you're done? (The power switch on my Parasound 2205at amp must be in the 'off' position for the trigger to work.) I haven't tried this method, yet; so forgive me if the answer is simply that the trigger can also turn off the component.

My power conditioner has a small (mini-jack) type outlet for the 12-volt trigger jack to go in. But my amp has two sets of screws to attach wires leads for the trigger. Are these two types compatible? Do I merely strip off one end of the cable's plug to expose the wire, and plug in and screw in?

As I said, these are probably DUMB questions, but I don't want to find out the hard way when it comes to messing with the electrical system.

Leave your equipment on all the time and you won't need to worry about system power-up sequence.
Interesting thought, Timo... but wouldn't the amp get too hot. Granted, it wouldn't be active. But I'm just concerned about having a decent size amp always on. Anything that occurs in the system (electrical or other) could be worsened with the amp on, I think.
best to leave any solid state equipment always powered on unless lightning is nearby. In that case turn everything off & unplug, yes unplug it as well. Lots of threads on this topic are in the archives.