Planning a trip to Italy in September 2025, and lost as far as planning.

Morning, I am writing as a first time traveler, I am planning a trip with my partner, cousin and her husband for September 2025 and we're going to be flying into Rome, we're slated to be in Italy for 14 days before flying out of Rome again. I am not very familiar with Italy and I am not the best planner with my work schedule, we were thinking of trying Vacation by Rail (https://www.vacationsbyrail.com/tours/rome-sorrento-the-amalfi-coast-by-train/#ICS25), but I was wondering if this could be manageable to plan on our own for a more reasonable cost. I also wanted feedback on the best places to go, we're all very active and enjoy hikes, we're interested in historic sites, museums, good food, and maybe a cooking class as my husband is a big cook and I have been told that there are some great experiential classes throughout Italy.
Any feedback would be greatly appreciated.