Warning, bouncing the light may not be any help in reducing reflections on the subject you are copying.
The concern is not the "glossy colors" reflecting light, so much as the very brush strokes reflecting the illuminating light.
I've had considerable experience copying art. If you want to control the reflections, you must not only put a polarizer on your taking lens, but also polarize the light sources. Circular polarizing filters are not what you need. Linear is the way to go.
First find a source for polarizing material large enough to fit over your INCANDESCENT light sources (which will be placed at a 45 degree angle to the art. Using your lens filter, ascertain the direction of polarization of the light filters, and place them over the light sources so that they are both aligned in the same direction.
From here on, the only polarizing control you will use is that of adjusting the taking lens filter.
Rotating the filter, note how the reflections of the brush strokes will appear and disappear (it's just such magic!) Beware, however, eliminating every trace of reflection will yield a very flat reproduction that will look like a painting. Strive for just a hint of brush stroke reflection, and you will have achieved perfection.
Take a peak at some reproductions of old masters; you'll see what I mean.
Good luck.