I have my persnickety perfectionist husband cut the pieces from masonite. He then uses a Braille labeler to make the labels for the pieces. I keep them stored in little tins that breath mints come in, also labeled. That way, I can find them.
I have a set of lazer cut quilting shapes, cut out of hard, thick and clear plastic. They have sandpaper dots on the backs to keep them from sliding. If the angles and size is correct, I just get that piece out. He keeps a master list of all the pieces I have so we don't mix things up too bad. My triangles are all in the same box, so are my squares, and then my rectangles. Appliques are kept together... you get the idea.