With my Ringmaster bowls, I will sometimes create a rounded transition from the bottom to the side. The rounded corner makes using a sanding ball or disk work a little better. It is easiest to make that rounded transition after you glue on the first ring, though that requires about a day of wait time while the glue on the first ring dries so I am not always that patient.
BTW, I do have a small 1" sanding disk which is a little easier to get into tight corners. I also have a soft foam pad (came with a set) that makes it a little easier to sand the transition.
Here is an example where I slightly eased the transition. With thicker sides, I will make the transition even more rounded.
--Nathan, TX. Hire the lazy man. He may not do as much work but that's because he will find a better way.