Flight
Florence Airport - about 50 minutes to Villa Petrea. There is a train that runs often (1 hr ride) starting at 8 euro.
Flight
Rome Airport - about 2 hours 50 minutes to Villa Petrea. There is a train that runs often (about 3 hour ride) starting around 20 euro.
Flight
Pisa Airport - about 2.5 hours to Bucine or 1 hour to Florence by train.