Rome is a very good food city, but not a great food city. I went to many of the most highly recommended restaurants; they were all good but I think I will struggle to remember all but one a year from now.
(The one I will remember is Santo Palato, which was divine. L’Elementare and Felice a Testaccio were very good too. Cesare al Castelleto and Romanè were good but I didn’t really get the hype.)
This chimes with my experience of Venice and Lake Garda last year; the only meal I remember from then is Lido 94. Being in Italy is a good reminder of how invented some of the narratives about Italians and food are; much of what “everyone knows” is in fact just conservative nationalistic propaganda of the worst kind.
Taking things slowly is essential. Reports of overcrowding were (the week of Easter, at least), greatly exaggerated. Buy tickets online and in advance and you’ll be fine, even in the Vatican (which is unmissable).
Vasari’s The Lives of the Artists is worth reading anyway; it’s especially worth reading when in Rome (and presumably Florence). Rick Steves’ app is also very good (I preferred reading the transcripts to listening). Make sure to visit the various churches that house important works; Sant’Agostino is my favourite.
The public transport is surprisingly good, and much better than it gets credit for. The soon-to-open new metro line should make that even better.
Italians have a reputation for being very friendly but I find that in reality this is rarely the case.