Where in Nassau can you take your puppy with you?

Yesterday I did take Scooby to the bank and a teller who wasn't busy came over and wanted to hold him. When another woman came in carrying her Yorkie, everyone stopped working and were talking to us. It made me feel really good that he was accepted in these places. This woman said she takes her dog everywhere - the mall, the grocery store (and that's definitely a no-no!) and even to vote. In his purse-like carrier, she said no one even realizes.
I have to buy one. Scooby gets car sick. He threw up twice yesterday - going and coming home again. I have to get him out more and used to these things.