If I'm going to be spending [about] two weeks in Italy during the summertime, how much money should I bring?

My older brother and I are planning to go to Italy in either late July or early August of 2016, and since my brother is tends to procrastinate it's up to me to organize and plan this trip. I don't have the details set in stone yet, but below is a list of the cities and attractions we'll be visiting. We will also be eating out for most meals, but neither of us is into super-expensive food. If it matters, when we go I'll have just turned eighteen and my brother will be about a month from turning twenty-four.

• Venice (one day): see the Grand Canal, the Rialto Bridge, the Bridge of Sighs, and Doge's Palace; ride on the gondolas.

• Verona (three days): see the Scaliger Tombs, the Roman theatre, the Arco dei Gavi, the Arena di Verona, Castelvecchio Bridge, and Juliet's balcony.

• Florence (four days): see the Historic Center of Florence, the Boboli Gardens, the Statue of David, the Ponte Santa Trinita, the Basilica di Santa Maria del Fiore, Palazzo Vecchio, and Palazzo Pitti; walk on the Ponte Vecchio; tour the Uffizi Gallery; shop on Via Tornabuoni.

• Rome (six days): see the Colosseum, the Pantheon, the Roman Forum, the Sistine Chapel, the Catacombs of Rome, St. Peter's Basilica, Hadrian's Villa, Quirinial Palace, and Vatican City; shop on Via Condotti.

• Pompeii (two days): see the Temple of Apollo, the Temple of Jupiter, the Amphitheatre of Pompeii, the Villa of the Mysteries, and Mount Vesuvius.