First of all, ABSOLUTELY FABULOUS that you are working on some Italian for the course of year! That will certainly help you enjoy your time in Italy and it will enrich your encounters with Italians whose English may be as limited as your Italian.
Second, you and your wife should really talk about what you want and if that desire includes a "laid back" time in Italy, please consider the merits of 17 to 30 days, rather than a mere 7-10 day trip. With all that Rome and Florence have to offer, 7 to 10 days even limited to Rome and Florence seems to me like it will be filled with sightseeing, rather than "laid back." (I recognize that others have said the opposite.) COMPARE https://www.ricksteves.com/europe/italy Look at the various RS Italy trips and their itineraries. https://www.ricksteves.com/tours/italy Look at other guidebooks, such as Lonely Planet.
My wife and I have been to Italy three times (2003, 2015 and 2024). Like you, we studied some Italian our first time and that came in handy; I refreshed in the months leading up to 2024. Each of our first two trips were about 17 to 19 days; our most recent was 30.
Our first two trips were Rome and north. 2003: Rome, Florence, Venice, then to Cinque Terre via Florence, Pisa & Lucca, then about 4 days in Tuscany. 2015: Rome (for what we missed the first time), Orvieto, Florence (for what we missed the first time), Venice (for what we missed the first time), Padova, Verona, Lake Como (Bellagio) and Milan. 2024 was for southern Italy, specificaly, Sicily, Puglia & Campania (including Naples and surrounding sights). For 2024, advice from others on this forum was to spend a minimum of two weeks in Sicily, but we slightly shortened that by taking the RS Sicily tour.
FWIW, our 2024 Trip Report discusses the relative merits of the guided RS Sicily tour, a "self-guided" e-bike tour arranged with a local outfit based in Puglia, and finally travelling independently from Puglia to Naples and then in Naples. SEE https://community.ricksteves.com/travel-forum/trip-reports/southern-italy-30-days-three-ways-to-travel