Do you realise just how tough bamboo is? you dont mention how many tables but youre going to need more than one cutter.
Mark out the shape with the jig. Use a jig saw to cut all around the inside of the line leaving less than a quarter inch. Then finish off using the jig with the flush trim router bit. This way you can use a quarter inch edge trim router.
If the table finish is delicate, cover all of the working area with masking tape before marking out. That will stop the jig saw damaging the surface.