I must admit I used to prefer optical stereo microscopes for the image quality, obviously no latency and the sense of depth, but I'm getting used to working with video microscopes on a screen and appreciate this more and more. You get a lot less fatigue indeed, due to a better body posture, and the lack of depth perception can be mitigated if you can tilt the camera (which is a big plus IMO compared to a vertical position only). It takes more training though.
I currently use a system built around a full-hd camcorder and additional lens (some kind of Barlow lens to get usable working distance), an articulating arm and a 14" full-hd LCD monitor which I find a good compromise (large enough to get good magnification and details, small enough that you can still put it relatively close to you which is much more comfortable). I get a x40 maximum magnification, which is nice for soldering jobs or even inspection.
I have also bought a camera and microscope lens (C-mount) from Aliexpress, similar to what Dave evaluated a few weeks ago (except the camera I bought has no autofocus), and it works pretty well, but it has a basic stand which only allows a strictly vertical position. Although I can get much higher magnification than with my other setup, I still mainly use the one above because it has autofocus which is a lot more useful than I thought, has digitally-controlled optical zoom (which is also very handy as opposed to rotating the lens manually), can be tilted sideways and has better overall image quality IMO (JVC camcorder).
Either way, for a fairly decent video microscope system, count around $400-$500. You can try the Andonstar ones which are significantly cheaper (around $200?), but of course much more limited as well, although many people get good results with those. For an optical stereo microscope, you'll be pretty much in the same ballpark budget-wise if you go for a chinese one or for a second-hand one (around $400 I'd say). There are also cheaper optical ones but I personally haven't found anything under $300-$400 that was good enough for serious soldering or inspection work.