Our flight leaves Fiumicino at 7:50 AM. The trains don't start until 6:30 AM from Termini. Should we:
a) stay at a hotel close to the airport the night before?
b) take a taxi from our hotel in Rome - if so, how much should we pay?
c) book an airport shuttle for 5:30 AM - if so, which company and how much would it be?