I was told by a friend to definitely go to the Piazza de Michelangelo because of the views and she was definitely right. To see Florence from this vantage point is spectacular!
There are plenty of people around (we came before sunset) and we found some friendly tourists like ourselves to take our picture.
It definitely helps you appreciate the city because when you are in the midst of it visiting museums and churches you get caught up in the history and art, but by seeing it from a distance you get a whole new perspective.
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