Palazzo Vecchio offers a wide variety of workshops and guided tours for children and families all year round. If your children are over 8 years old, take them to Palazzo Vecchio and join the Fresco Painting workshop. Kids will dabble in the different phases of making a small fresco, and they'll have the possibility to take their creation home with them at the end of the activity.
If your children are younger, from 4 to 7 years old, let them have fun with The Story of the Turtle and the Sail. After watching a video about the story of an old turtle that Cosimo I de Medici met (and saved!) when he was a child, they'll explore the floors, walls and ceilings of the Palazzo, in search of the symbol of Cosimo I: a turtle with a sail hunt.
Other family activities include a visit to the Secret Passages, a taste of Life at Court during the 16th century, and a Guided tour by Giorgio Vasari himself (well, sort of!). And we could go on and on, for more information, prices and booking check out the website of Mus.e Firenze.