Considering Trip from US to see Rome, Florence, and Venice. Due to direct flight opportunities in and out of Rome, have been considering taking train from Rome to Venice on the day of arrival in Rome and starting to tour in Venice, then Florence, then Rome. Flight opportunities from Venice and Florence to US ( can't find any direct). Have never traveled within Italy by train and am also concerned about handling luggage to and from Trains and when to purchase tickets .
Not Familiar with train schedules and how many hours by the fast trains between Venice and Rome.