You will actually be getting there a day after me! I am taking my mother for her first time for a week. I love Italy and have worked there and been there many times. I do have to say I would spend your first 2 days in Sorrento. A great place on the Amalfi coast and my favorite place in the entire world. A quick train ride from Rome to Naples and then the Circumvesuviana from there to Sorrento. The Marina Grande is my favorite place to stay that's a bit out of the way but just a short walk from the city center.