Stand the material on edge against the fence, start the router and cut the bull nose on one side of the material.
Turn the piece around and cut the bull nose on the other side of the material.
DO NOT cut right to the end. Stop the cut about an inch from the end because there will not be any material left to hold the dowel in place.
Cut or break this dowel loose from the material and sand the edges smooth. You can continue to cut dowel until you have all that you need!