Two DC - 15 and 12.
A couple of years ago we went to Rome for a couple of days, then to a villa near Sorrento, which worked really well as we like a mix of down time by pool/beach and culture/trips out - e.g. did Rome sightseeing, Pompeii, Herculaneum, Capri etc.
We would like to go back to Italy for a similar mix of sightseeing/downtime. (Also DS is a big fan of theme parks.)
Any recommendations appreciated. Ta