No disrespect, but Florence is one of the great cultural icons of the world, and if you are basing your decision solely on better point redemption, perhaps you are not Florence-worthy.

While it would be better to spend a week, to, as Michelangelo suggested, walk in the shadow of the Duomo is a wondrous thing.

A quick reading/movie list to put you in the mood:

1. Brunelleschi's Dome by Ross King about the architectural feat of capping the Cathedral.
2. Movie, Under the Tuscan Sun
3. Birth of Venus by Sarah Dunant
4. Maybe even, the film A Room with a View:

Renaissance art practically begins with Masaccio, and you should start with his frescos:

Brancacci chapel

In 1424 the "duo preciso e noto" ("well and known duo") of Masaccio and Masolino was commissioned by the powerful and rich Felice Brancacci to execute a cycle of frescoes for the Brancacci Chapel in the church of Santa Maria del Carmine in Florence. The theme of the frescoes in the little chapel was to be the "Histories of St. Peter". The genius of Masaccio shows clearly in these frescoes. In the "Resurrection of the Son of Theophilus", he painted a pavement in perspective, framed by large buildings to obtain a depth of field and three-dimensional space in which the figures are placed proportionate to their surroundings. In this he was a pioneer in applying the newly discovered rules of perspective.

Get tickets on line for the Uffizi before going, else you will waste precious time waiting in line.

The Doors of Paradise are in the Museum across from the Duomo, and are breathtaking. In this museum is also Michelangelo's last work, Mary Magdalene, which he did for his own enjoyment.

Walk across the old bridge, climb to the top of the Duomo and breathe in a city that has been one of the greatest for over 600 years.