Power On Power Off In Order

I have some sound equipment at our church that I would like to turn on and turn off in a specific order. They would turn on in order of Sound Mixer, Processing, and finally power amps, but power off in opposite order. This avoid unnecessary pops in the sound system and prevents damage. I recently discovered Arduino and it sound like a lot of fun and perfect for a project like this. Any tips of what I would need for a project like this?

Thanks so much!

power tail controlled by Arduino.