Unfortunately, I have way too much experience with abdominal surgery. I suffered from endometriosis for years and finally had my uterus removed (and ovaries too, which I do not suggest unless you absolutely must). I had the slice through the abdomen twice and the third time it was laparoscopic. Robots were not available way back then. I was young and the idea of researching before surgery was new...until my last surgery...I decided on laparoscopic and then searched for the surgeon with the most experience....I asked the nurses. My husband was diagnosed with prostrate cancer and we researched the options for months. This is what I have learned.....
It all depends on the skill of the surgeon, what they're used to, as to what they'll suggest and what they'll be good at. The robot and/or laparoscopic makes the smallest incision and therefore less likely for infection....blood loss is supposed to be less too. If you go for robot, make sure the surgeon has plenty of experience. We found that we decided which procedure sounded the best, then we searched for the surgeon with the most experience. I ended up with a fertility specialist that performed tons of laparoscopic surgeries. He was a total jerk, but a skilled surgeon. For my husband's surgery, we found a surgeon who trained other doctors on the DaVinci robot and had performed more robotic surgeries than almost all other doctors.
Surgery sucks, but so does living with pain (or cancer). Best wishes for a clean surgery and quick recovery.