I've decided to follow Davis' advice and get myself a coping saw. Today I didn't use the previous saw at all, just this one. However, I could not find a way to clamp it to my "work table" without it being extremely wobbly. Something to do with the fact that I only own 4 clamps and am working on a little table. Here's the setup I tried to start with:
My table's too short and the body's too long. You can see the coping saw in this picture, hanging off the top of the piece.
Here's the setup I ended up going with:
Edit: actually the above picture is wrong. Since I spent today hacking away at the already rough-cut place, I had it set up so that part was hanging off the edge of the table.
Much like the previous one. It worked out really well. My strategy is to cut about 3-4 mm from the paper template I taped on, like so.
(I really like this picture, looks kind of artsy)
It gradually ends up like this.
