We loved staying at La Casa sui Tetti dell'Oltrarno.
Emily's husband met us at the flat and was very warm and welcoming.
When we were asking about dinner recommendations it turns out he is the owner of a Ristorante Coquinarius , which is a fantastic local restaurant/wine bar with all Biodynamic & Natural/Organic wines and a superb chef. He called to make us a reservation.
We had the perfect dinner! We particularly loved the smoked venison carpaccio and burrata ravioli with creamed/carmelized red onion and pistachio sauce. yummmmmm.
We'd totally recommend both their airbnb as a great place to stay and their restaurant to eat! Fabulous match.

Just know that the gorgeous apartment is on the top floor, 6 flights of stairs to climb up with your bags but totally worth the climb! Lucca helped us with our bags though!