Seasonal Fruits and vegetables are located on the top floor of the Mercato Centrale, to round out the meal you're planning.
For more information on the San Lorenzo neighborhood and the evolution of the Mercato Centrale of Florence, see Florence's San Lorenzo.
The best way for the true "foodie" tourist to take advantage of the yummy goodness in the counters of the Mercato Centrale San Lorenzo is to rent a place with a kitchen. These kinds of rentals are becoming more common, fortunately. You might try Venere's Florence Self Catering Apartments (Book Direct).
Then you'll need some help with what to buy, along with some traditional Tuscan recipes to prepare. For that, Kyle Phillips is glad to help.
La Galleria del Pesce (Photos from Italian Fish Markets)
And for the Offal part: Tripe, Trotters, Liver...
If you need help with the dynamics of shopping for food in Italian markets, Martha Bakerjian comes to the rescue with Food Shopping in Italy.

