I used rat tail files, sandpaper glued to a block of plastic, a steady hand, and as with all projects...patience and unrelenting persistance. Keep in mind your timeframe to completion is that it will be done when it is finished so enjoy the journey as well. Unfortunately it is easier shown than explained in words.
The pieces were all laser cut. It was edged by hand. First draw where you want the edges to be. Knock down the bulk of it with a dremel but do not reach the guidelines you just drew. Use the files to get in closer and finally the sandpaper block to make a uniform flat surface.