1. - State of the art is the Mantis type of microscopes, they let you watch the inspected item like looking at a monitor (but it's all optical, nothing electronic). One can sit normally and see "around" the object by simply tilting it's head, without tilting the inspected object. Mantis are also used by dentist technicians, to prepare prosthetic tooth. The microscope is great in quality, perfect for electronics, but it is also bulky and very expensive.
2. - Next to that are the Binocular Inspection Microscopes (trinocular simulfocal if you want to film, too, while working). These looks like "normal" lab microscopes, but there is a decent distance between the object and the lens, enough to work with a soldering iron. Also full optical, no electronics, excellent 3D vision, but hard to use because you need to look exactly through the eyepieces, hard for backbone too when working for long under microscope.
3. - Then, there are monocular electronic microscopes, mostly a webcam+display. No 3D perspective and most of them are laggy, the image lag behind your hands moves, making good mostly for inspection only but not for soldering or working live under the microscope.
4. - Goggles-like lens, sometimes used in jewellery, too, sometimes like a hat. The image quality is not as good as from a stereo microscope, but easy to put on/off, and gives one complete freedom to move around the lab.
5. - Big desk magnifier glass (on an arm), image not very good and usually wiggling and oscillating most of the time.
6. - Small but powerful (3-5x magnification) hand magnifier glass, easy to use and very good image but needs an extra hand.
I've tried all of them except the Mantis microscope, and ended using a generic binocular inspection microscope for fine work, and one of those "hats with lens" for it's freedom to move and look everywhere. That is when working, otherwise I use a hand magnifier glass.