By plane
Florence's Amerigo Vespucci international airport (IATA: FLR) (known to locals as "Peretola") has good connections to the center of the city, which can be reached in about fifteen minutes by taxi or bus. The Ataf-Sita "Vola in Bus" ("Fly by bus") service costs €5.00 one way, and makes the circuit between the airport and the central train station every half an hour from 5:30AM to 8PM, then once an hour afterwards.
Note that 5:30AM bus leaves from the corner of Valfonda and Piazza Adua which is north of the train station instead of from the ATAF-SITA bus station which is on the west side of the train station. You can buy the ticket on the bus.
There is a €25 flat rate for taxis from the airport to any place in the historic center of Florence. They will charge €1 extra for each piece of luggage handled by the driver.
Much cheaper flights to destinations throughout Europe can be found at Pisa airport (IATA: PSA). Low-cost airlines which fly to Pisa include Thomsonfly, Easyjet, Ryanair, Transavia, Wizzair and HLX. Pisa airport and Florence are connected by rail and by bus. Both leave from and arrive at the main entrance to the airport. The bus station in Florence is immediately across the street from the main railroad station, "Firenze SMN". Train schedules are available at http://www.trenitalia.it. Bus schedules are available at http://www.terravision.eu/florence_pisa.html. The train costs €5.70, the bus costs €6 one way, and €10 for return. The buses run more often. Some trains do not arrive at the main railroad station, and others require a change at Pisa Centrale.
By train
Modern, fast trains connect Florence with Italy's main cities, and local trains from other parts of Italy and express trains from around Europe arrive in Florence. The main station is Firenze Santa Maria Novella, on the edge of the historic old town. Other small stations are Firenze Campo Marte (near Florence