Thank you all, but what I have concluded, unless someone comes up with better suggestions, is that what I need is a car service. Living out of the trunk (the "boot") of a car isn't going to work. It also occurred to me that there are stairs at train stations where you arrive at the wrong platform and have to cross under the tracks.
Thinking laterally, is there a single location that you could have as your base? Get a taxi there, and a taxi back to the airport, and the taxi driver thus does the lifting of the suitcase.
Then every day in the holiday is either exploring that location, or day-tripping with a light day pack. The suitcase stays at base camp!
I'll throw one option in, with logistical insight, but maybe there's a place that really appeals to you, to stay there, but also to explore around it.
- Torino is my favourite city in Italy, but it also has in Stazione Porta Nuova, a train station without those steer underpass stairs - it's flat all the way onto the platform. Its older trams have steps as shown
,
but the newer ones and the buses don't (or typically just a single step), and the limited Metro has lifts and no steps onto the train. Lots to see and do around the area, and if you want a cheaper option than a taxi, the airport coach goes from outside arrivals, and drops off at key points in the city. Places like Alba, Asti, Novara are good day trip options on the train, and there are other places that make good day trips on the outskirts of the city.
As for the trains, the modern freccia trains aren't bad for steps
The older inter-city split level trains were more problematic IIRC
whilst the urban / suburban regionale trains could be a mix, but often seemed to have flat entrances like this