Hamm: re Florence, just Google FLORENCE, ITALY, ATTRACTIONS - there's a nice site showing you the top ten, of which I'd say Boboli Gardens and Pitti Palace are absolutely worth your time. In the Palace, once the seat of the Medici family, there are eight or nine galleries devoted to separate arts and crafts of great beauty and antiquity. It's decades, rather than years, since I visited, but the time-honoured sights will be the same, I'm sure. Florentines are smart, bright, and pleased to be rather different from the stereotype of 'the Italian' - sophisticated and artistic, of course. The city is a marvel of terra-cotta tiling and the warmest colours of stone. Sitting out with your meal and a bottle of decent plonk will be a visual pleasure there. It's certainly a city I'd be happy to return to.
Rome is vastly noisy with its millions of blarting little Vespas, congested and jostling. Take real care with your wallet and if you leave your hotel, put your valuable in a safe. The Vespa snatchers can spy a decent watch at 100 metres and have it off your wrist and in a pawn shop in ten minutes! So much to see and do, it's exhausting, so perhaps corny but best (and probably safest) to join in with a tour bus doing the mandatory sights.