Check out the Metcato Central & my favorite little restaurant was called Osteria Godó.
Consider a day trip by train to Siena (Tuscany)
Visit the Galleria dell’Accademia and there is a big cafeteria called the Mercato Central, I went there numerous times. Have fun bartering for lots of leather goods. The tower of Pisa is also a good day trip from Florence- depending on how much you like old rickety trains (I adore them)…