Some of the wired Power "remotes" can handle a TON of juice. I've had one set up to handle the front half of the masssive Christmas light display (I had to seperate it into halfs as the load was too much for the GFI outlet), and it could handle all the the current that the GFI could stand quite well.
I know first hand how much juice Color sets can draw....I have a wall of color sets (shown below) and between the four sets, my stereo, the lighting, and what ever was on in the other rooms on that line I was able to trip the breaker.