You can buy or make a sort of inverted shooting blind - basically a white tent between your lights and the shiny object. You poke your camera in through a hole to minimize the amount of it that is reflected in the shiny surface.

For some reason I keep getting this urge to take apart my karma, hook up an 80G drive, and put it, the dock, and a power supply into a small enclosure to make a small home stereo appliance.

Or maybe put it into a car stereo chassis. That'd be great! I wonder why no one has made an mp3 player for the car yet.