Regarding train, I'll prebook Nice to Milan, but the rest can be booked a few days in advanced without significant price difference? Also I heard there's a train to Cinq Terre, I'm not sure the name of the stop. I was thinking to stop there from Milan to Florence. Should I just settle into Florence and take a day trip?
9.11
Nice to Milan 5 hours
Train: 2-7
Milan
Dan Calocero 3 (shopping
Dinner: Naviglio Grande
Day 1 Milan 9.12
Duomo
Shopping
Palazzo Reale
9.13
Train to Florence
Every 2 hours; 2 hour trips
Day 1 9.14
Uffizi
Piazza della signora
Day 2 9.15
Day trip Cinq de terre hike
Day 3 9.16
Accademia
Free day in Florence leave by 2 or 3
Train every 2 hours; 2 hour trip
Day 1 9.17 Rome
Villa Borghese
Spanish Steps
Piazza diSpagna
Trevi Fountain
Piazza novanna
Bike Tour
Day 2 9.18
Pantheon
Roman Forum
Collaseum
Day 3 9.19
Vatican City
Day 4 9.20 Fly home