When you are doing a build with a huge number of individual panels like this, the biggest headache usually isn't the cutting, it's the assembly. Most people just try to sew the pieces together and hope they hold their shape, but that just results in a floppy piece.
Instead, if you want a sturdy form, spend extra time on preparatory shaping. Use a jig or a wooden form to loosely block out the main curves of the pieces before you even start stitching. This pre-shaping makes the final assembly much cleaner and prevents that overly rigid look.
Also, learn to use scoring properly. Before stitching a seam, score the leather slightly along the entire perimeter of the join. It gives the thread a perfect place to grip and helps keep the panels from warping when you pull the thread tight. It makes a massive difference!