Microscope. Microscope........ (Optical Stereo is best, USB Digital the worst)
Any particular product recommendation? I've been using a visor/headset glasses but these are limited to about 3.5X magnification and I would like more. https://www.adafruit.com/product/1345 is interesting, and with TV output I guess the response time is instantaneous but there's still the problem of it being 2D.
Oh boy. Not by name/brand - sorry.
What I have found to be great is a base which has the right height, so you can work comfortably under the microscope without tiring your hands, arms, fingers, shoulders, etc.
Naturally a
heavy sturdy construction that doesn't tip, a base working area that suit your needs and dials that move without slack etc.
The 3D view is excellent as it minimizes guesswork on where the tip actually is, minimizing burned/marked adjacent components when placed really close to what is being worked on. There's no delay in visuals, so work pace can be sped up considerably.
I tried to google 'stereo microscope' and then do the pictures view. There's tons of different layouts. Some might work great for you, and not for me - I have worked with a few different types, and typically you get what you pay for quality wise.
Most common difference is viewing angle - some are directly down, I don't like those. I prefer those you 'look into'.

I recommend a microscope with a zoom level starting as low as possible - I find that when working with larger components and a magnification of just 4-5 - there's no room in the viewing area, and I have to move things around. 40x magnification is enough to do 01005 components, and still getting good views - if the lighting is good enough. LED rings are not great imho, the light from a halogen bulb is much better for identifying colors and contours like tracks, solder mask, bare board, component cracks, etc.
- and possibly getting a local one, as shipping glass mounted lenses can (if knocked around too much) cause problems.
Good luck, and they do start somewhat cheap - depending on model and features. Buyer beware, try it out if possible before purchase.
PS - I have no experience with the mantis-type