I thought I would post a brief description of the method I used to add the banding to the bottom of the demilune table.
What I didn't do:
I was considering using the router and making a curved jig to fit the table curve, but the thought of that much power at 10-14k RPM made me a bit nervous--any little glitch would quickly remove wood that I'd rather have still attached to the table apron.
Another approach I considered was using the shaper--but that would have required too much time making a jig--since I wasn't planning on making a dozen of these tables, I didn't want to invest the time making a single use jig.
So I settled on a handtool approach that worked wonderfully. Using a Tite-Mark marking gauge, I scored a line around the bottom of the apron that matched the width of the banding I was going to use.
I then set the fence on a Lie Nielsen skew block plane to cut to that line and after that it was a trouble/stress free process of planing down to the depth I wanted. It was actually kind of meditative and I was never worried about things going wrong.
If you are ever searching for a method of adding banding to a project, I would highly recommend you give this one a try.