I'm thinking of that silly girl, Paris Hilton, with her dogs in the handbag now. You could do something like that maybe? If she's in a bag that you can hold under your arm she won't get shaken around too much when you carry her around and she'll be safe tucked under your arm like that. As long as she doesn't get too warm...
You are going to convert lots of people to the joys of chicken keeping when you go out with her all the time. She's so adorable! And she looks so chilled. What did she think about being in the bag and going shopping with mom?