Easy One! Use your AV to TRIGGER the Amp
It is a big no-no to plug your Amp into the Switched AC outlet on your AVR, but you can use this power-on AC plug on the back to Trigger your Amp.
Get a 6v to 12V AC/DC converter and a 3.5MM jack from Rat Shack. Cut off the power plug end of the converter and install the 3.5 Mini Plug; plug the AC/DC Adapter into the back of your AVR and the 3.5MM mini plug into the Trigger Input on your Amp.
Now every time your AVR is powered on the AC outlet in back is also powered on; the AC/DC Adapter plugged into it sends a Signal to your Amp's 12V Trigger and the Amp turns on; problem solved.