I've worn glasses and contacts for almost 40 years. My eyesight is bad enough that without corrective lenses, I'm legally blind, and Lasik is not an option because too much of the cornea would have to be cut and reshaped, risking corneal ectasia. So in short, I have no choice but to wear either one.
Like others have said, glasses can and often do fog up at the worse moment. Because of this, I choose to mostly wear contact lenses, which provide a much greater freedom, for me at least, than eyeglasses. You won't have to worry about hitting your frames at draw or having your glasses fog up, fall off or move slightly down your nose, possibly distorting your vision or refraction enough to affect your aim.
You mention you use your glasses for up close reading, which makes me surmise that you're farsighted, as opposed to nearsighted (myopic). Just curious, but is your farsightedness pronounced enough that you still can't see the target down range, or does it affect your periphal vision in relation to the arrow point for gap tight shooting?