How about video equipment. Any suggestions?
Just about any DSLR/MILC in the last 10 years should able to do video at 1080p. Last couple of years generally offer 4K video resolution. You will probably a lens that focuses fairly close. However some cameras shoot video at a crop (meaning they only use a central part of the sensor), so that would go a little ways towards overcoming an inability to focus close.
If you're using autofocus, a lens that uses stepper motor(s) for focus will be nearly silent. A lens using ultra-sonic motors (USM or some related acronym) will have some but minimal noise. (Avoid lenses with "screwdriver" AF--focus that is mechanically-driven from the camera body. Those are noisy as heck.) However if you're using manual focus--manually focus on the hook and don't change the focus throughout the tying sequence--it wouldn't matter which type of focus motor mechanism it uses.
But if you're just trying to get to 1080p, an older (used/cheap) camera and macro lens would be great. You might not even need the macro lens it shoots with a crop. Depends on how large/small of an area (fly) you wan to shoot.
You're going to want light, and ideally a good bit of. Video fps dictates shutter speed which dictates how much light you can gather. Yes you can crank up the ISO, but quality will fall with that. Additionally, more light lets you stop the lens down and get more depth of field if desired (DOF being how much appears in focus from front to back--the "depth" of in-focus.)
Ideally the light source(s) are somewhat directional, and can can be moved around and located where they illuminate the fly even when your fingers are there. A strong overhead light may provide "enough," but every time you put your fingers on top of the shank, everything underneath it is going to fall into shadow. Lastly, try to make sure all the light sources are the same color of light--IOW, don't mix LEDs with incandescent bulbs. And avoid fluorescent bulbs if at all possible.