This was a wonderful place to stay in Florence. It's a great little apartment that was perfect for two of us for a week. The location is wonderful and gave us easy access to more things than we had time for. Cosimo was a great host, meeting us when we arrived (fairly late after a long train ride from Austria), providing a friendly welcome to Florence, and being extremely helpful when we had a little crisis (we left some things behind). They also provided a lot of "small" amenities that were really appreciated, such as a bottle of cold water in the fridge, delicious home-made biscotti and jam, and grounded power plug adapters (none of the ones we brought had grounding pins). The space was comfortable and a welcome relief (thanks to the air conditioning) from the blistering mid-July heat.
I've stayed in 14 AirBnBs in 8 countries over the past 5 years, and this was easily one of the best – definitely recommended!
Some recommendations for right in the neighborhood: The Museo Marino Marini if you like modern art (especially sculpture), A Casa Ca.fe (we ate there several times), and the Basilica of Santa Maria Novella. Also, we had a great time making pasta with Michele Gualtieri as an AirBnB experience, who then recommended the *splendid* La Strega Nocciola for gelato; it's just a few feet from the north side of the Duomo, there rarely any sort of lines, and it was heavenly.