I'm assuming you are building a cabinet and want a single power on switch. Needless to say, selecting a monitor that will turn on when the power is applied without pressing the "on" button is a critical feature.

I doubt there is anyway to solve this very simply. If you are good with electronics and inclined to, you could probably hack into the monitor's switch and build a small timer circuit that would momentarily supply the right signal to power on the monitor.

its an older LCD, Magnavox 19" (dont have the model # handy). I highly doubt it supports CEC.