The first step is to make a body mold to layout the design and to hold the sides when constructing the body, and also some "spreaders" that will push the sides into the shape of the mold. This weekend, I used my CNC router to cut the pieces for the molds and spreaders, which gives me a ridiculous level of precision.
MDF pieces that I cut with the CNC (this is enough to make 1/2 a mold and 1/2 a spreader; there will be 2 molds and 2 spreaders altogether):

Gluing up two spreader pieces (note the alignment holes that were machined on the CNC when the part was cut):

Pounding in dowels to align the two pieces perfectly:

All clamped up:

I did a similar process with the other spreader and the two halves of the body mold. Hopefully tomorrow I'll have time to sand this mold and spreader and start machining the other set.