Snipping the wire leads on parts results in short stumps that are hard to work with later, so I decided to unsolder all the parts from the circuit board. Wires from the component parts pass through holes in the circuit board and are soldered to printed circuitry on the back side.
To help facilitate work, I came up with some helpful tools and techniques I would like to share. In this photo, you can see the circuit board being held by a pipe clamp vise adaptor.
Step 1: Pipe Clamp Holding Device
The pipe goes into a PVC vise adapter for holding pipe, and can rotate on that axis for easy access to either side of the circuit board. To make a similar adapter, see my instructable: http://www.instructables.com/id/PVC-VISE-ADAPTER-for-holding-pipe
Rubber floor mat pads are Gorilla glued to the clamps jaws to firmly, but gently hold the circuit board by the edges. The circuit board wouldn't fit directly into my vise, but a pipe clamp can be big enough to handle anything.