Solid Snake has good advice.
That being said, I keep my WC chams in my basement workshop with a large metal working lathe, CNC milling machine, band saws, drill presses, and a stereo loud enough to hear over most of the equipment.
The noise and vibrations don't seem to bother them, unless I turn on the subwoofer for the stereo. I don't do anything down there that would create fumes however, and I have a dust collection system with hepa filter.
And the laundry is done down there, but on the opposite wall.
I eventually plan on putting in a room down there for them. More for temp control than anything else.
I'd be mostly concerned about fumes from the dryer sheets and detergents being in close proximity. If you have a gas dryer rather than electric, I do not think I would even consider keeping them in there at all.