Thank you for your question!!
HD Lipo a technology in which laser heat is applied to the fat, blood vessels, and the undersurface of the skin in combination with traditional liposuction techniques. The idea is that it can cut down on bruising, perhaps create a more even and symmetrical final result, and tighten the skin.
In some circumstances, it can be performed without a general anesthetic or even IV sedation, and for this reason, many practitioners who are not Plastic Surgeons (ie general surgeons, ear, nose and throat surgeons) or not even surgeons (internists or dermatologists) are adding it to the services they offer.
However, it is very important to remember that it is still a surgical procedure with real risks, perhaps even more risks than traditional liposuction in that the surgeon must understand how to use the laser properly, and so I would highly recommend a properly qualified and trained Board Certified Plastic Surgeon in your area who is familiar and comfortable with the technology.
Finally, either Smart Lipo/HD Lipo or traditional lipo can give you excellent results, but it depends on the surgeon and your specific anatomy. It can be done safely and effectively either in a hospital OR or in an Ambulatory surgery center, with multiple types of cannulas, and with different types of sedation.
The critical thing though is that you must be evaluated by someone who understands the strengths and limitations of each type of procedure, understand surgical principles in general and the art of liposculpture in particular, and be able to understand your anatomy and specific goals. In this way will you give yourself the best chance at an excellent result! Best of luck with your search.