My surgeon used the Da Vinci robot. He was oddly insistent that he (the surgeon) was performing the surgery, not the robot; I guess some people misunderstand the concept of robotic surgery and picture R2D2 cutting them open. He said he does the surgery both with and without the robot, but he prefers using the robot, and I was in favor of anything that made it easier for him to do the surgery.
My understanding is that the advantages of the robot are that it is more dexterous than human hands, and it allows for smaller incisions. My incisions were certainly quite small and healed quickly, and the scars are barely visible now (2 years later).