Technique. Tumescent liposuction uses fluid to help in extracting fat and minimizing blood loss. Standard non-tumescent liposuction is reserved these days for very small areas. If you need large volume liposuction, tumescent technique is the safest way to go. Please make sure your plastic surgeon is experienced and well-trained. Don't be drawn in to bargain basement prices by inexperienced surgeons.
It's the anesthesia. Tumescence is a form of anesthesia that is used for most cases of liposuction. In this technique a large volume of fluid with lidocaine and epinephrine is injected under the skin to numb the area prior to suctioning. It allows awake lipo to be done, but also is often combined with general anesthesia. see: http://www.omahacosmeticsurgery.com/contouring-procedures-category/contouring-procedures/
Technologies. These are differing technologies of doing the actual work. The results are usually similar as long as you don't stray too far from the basic method or go to a novice surgeon.
None. Virtually all liposuction involves infusion of fluid with local anesthetic and Epinephrine to the tissue prior to liposuction. This helps allow more smooth fat removal with less pain and less bruising. The extent of extra fluid volume infused relative to the amount of fat and fluid removed is what can differ.