It's funny when I was living in Atlanta I remember some of the Home Depots having signs on the doors that said no pets.
I once ran into the Garden Center for something with one of my girls and didn't see the sign about no pets until I had left, but no one said anything while I was in there.
I have found every department store I have taken my girls too they have been welcome...Nordstroms, Bloomingdales, Neimans, Macys, etc.
The Juicy and Coach store alway seems to make a big deal over my girls, as does JCrew and Anthropologie.