I'm learning to be a big fan of small cross bodies! (wildoneforever.com)
They are small cross cuts of, I don't know what, but they can't be broken or softened to a state that they would try to swallow them. (whole-dog-journal.com)
You always need a good small cross body for when you go out and only need money, cards, phone and some lipstick. (thelavenderskies.com)