I have the 16 gal shop vac brand sold at Lowes. The blue ones. It has a decent muffler system...basically ports under the upper plastic shroud. I was surprised how quiet it is. It is not perfect...but price/performance was very good. It also has the ability to pump water. I use a nano filter with a bag.
I also have a harbor freight dust collector with the nano filter....also pretty quiet. I suppose it depends on your definition of quiet. Baby in the room...not quiet enuf. I'm in the basement so I'm ok.
Good luck
Dave