Try BrickStuff. I used to do Lego animation but stopped because it got really expensive.
I would think you would light it like anything else, and try to get some variety and depth into the lighting. Use tracing paper to diffuse the light and reduce the shininess. I believe it is also possible to buy some anti-glare spray if it is a real problem.
Mostly I would think you need small lights, so a couple of LED panels and some little LED desk spotlights would do as a basic set up. Coloured gels help with atmosphere. If you use long exposures, you don't need a lot of light. It's not like live action filming where with 25fps the exposure has to be 1/50th sec. I mostly use 1/2 to 1 second exposures.
One great tip is to use something to break up the evenness of light. In the business they are called cookies, but they are basically either boards with a lot of random shape holes in them or wire mesh with something semi-opaque also randomly placed across it. When these are used in front of the lamp, the faint uneven shadows cast give a nice texture to areas that are otherwise boring to look at. Hope this helps...