I used to stop at a book store to visit the cat. - because the cat liked me, too.
As far as animals in stores - perhaps a sign on the door ( and on web site ) would be a good thing. So thatthose that are bothered by them could svoid them.
As much as I dislike smoking, I think a privately owned enterprise should be allowed to permit smoking - as long as one is warned before entering.
As long as the animals are healthy ( non - contagious) and free of riders (fleas, etc.) - they are probably less hazardous to thhe general public than someone coming doown with a cold orr the flu.