Vsync: Unbearable amount of input lag, feels like you're moving your mouse in molasses. It can be disabled for free by setting an option. (the amount of lag decreases as refresh rate increases. 60Hz vsync was the worst thing ever. 120Hz is somewhat acceptable).
Me and my friends actually enable vsync from time to time to train ourselves to rely on aim less.
125Hz mouse: Visibly jittery. Just set it to 1000Hz, works on most mice even from 1999.
60HZ CRT: Kills your eyes due to flashing. Get 75Hz
75Hz CRT: Might have bad focus. Get one with good focus
60HZ LCD: Kills your eyes due to motion blur. Suggest 120Hz at bare minimum (yup, motion blur decreases as refresh rate increases). Some models lag as bad as vsync, just get a model that doesn't lag. This has nothing to do with cost, it's a common firmware bug that some models have some don't.
120HZ/240Hz LCD: Might be some garbage with so much overshoot that it's just as bad as the slow pixel response it tried to prevent. Get one without that issue