From the New York Presbyterian website:
Laparoscopic Surgery – Breakthrough Technique
The living donor surgery at the NewYork-Presbyterian Transplant Institute is performed laparoscopically in all but a very few cases. It is a minimally invasive procedure, which will allow you to recover faster and experience less post-operative pain than you would with the standard open surgery.
While you are under general anesthesia, your surgeon will make two small puncture holes in your abdomen one to insert a tiny flexible videoscope, which projects the image of your organs onto a television screen, and the other to insert the instruments necessary to perform the surgery. The kidney is removed through a two- to three-inch incision below the navel compared with the much larger incision used in standard operations.
Your surgeon will hand your kidney over to the recipient's surgeon, who will immediately cool it by flushing it with a preservation solution. This helps the kidney stay healthy during transfer between the adjoining operating rooms.
Following surgery, you will go to a recovery room and then to a special transplant unit where you will stay two or three days. Within two weeks of your discharge, you will be seen by your surgeon and then return to the care of your own physician. Within two weeks following the surgery, you will be able to return to work and resume your normal daily activities. And you will be able to begin strenuous physical activities within a month or six weeks. You should have your kidney function and blood pressure checked at the transplant center or by your own physician six months following surgery and annually thereafter.