Here are The Traveling Professor's picks for eating in Florence, Italy

Trattoria al Trebbio:  Nice bright atmosphere in a relaxed but sophisticated setting, I like the ceramics on the walls, the country tables and chairs.  For me the Tuscan vegetables hit the spot and it is the best place to get a Florentine steak at a reasonable price. http://www.casatrattoria.com/restaurant/trattoria-al-trebbio/

Mercato Centrale:  Don't even bother going to Florence unless going upstairs to the Mercato Centrale at least one night. It's fun, exciting, and casual.  Find a spot to sit and then cruise around from probably over 20 vendors selling fresh pasta, beef, seafood, burgers, tripe (not my favorite), pizza, gelato and lots more.  There is something for everyone here and everyone will enjoy it.    http://www.mercatocentrale.it/en/

Il Latini:  Food, food, then they serve more food.  We have been there for group dinners where they served 23, that right twenty-three courses.  It's about 45 euros to sit down for this extravaganza but a lot of fun especially if dining with a group.  http://www.illatini.com/

Trattoria Za Za:  Located near the Mercado Centrale, so the ingredients are fresh.  Tasty Tuscan food, I especially enjoy the appetizers and the pastas.   My pick for dining al fresco.  http://www.trattoriazaza.it/

These are just three of my picks for the best places to eat in Florence Italy.  I have several more spots that you want to try.  If you have some of your favorites, just list them in the comments section.