This is a clean, spacious apartment, ideal for a couple or a couple with one child who would like to have the possibility to do some cooking and who also want to be in the heart of the old city. You need to go up about four flights of stairs to get to the flat. We ended up cooking a couple of meals and had some really nice breakfasts with products we bought at local markets and supermarkets. There are good shops within 2- to 5-min walk of the apartment. Slightly bigger supermarkets are further away, but we found that we didn't really need them. The nice thing about Naples is all of the wonderful independent businesses, and most seem to be significantly cheaper than the supermarket.
The apartment is nicer than in the photos, and it has an oven, full-sized fridge and freezer, and makings for coffee - having coffee and milk in the apartment was a really nice touch. There is a washing machine in the kitchen. The bathroom is big by Italian standards and there was good water pressure and ample hot water (big plus!). The apartment looks out on a very narrow alley, with neighbours just a couple of meters away, though you access the apartment from one of the main roads in the historic centre, making it easy to find. It's about a 15-min walk from the train station.
The neighborhood is fine, quite busy, and exactly what we expected from the historic center of Naples, but you may want to avoid a couple of the nearby side streets later at night. I stress: we NEVER felt unsafe, but there are certain "businesses" nearby that you may or may not feel comfortable with. None of them were threatening. During the day it was totally fine.
Rosaria was lovely and the check-in was easy. She met us at the entrance to the palazzo and talked us through everything and gave us some tips on nice things to visit, many of which are within a 5- to 10- min walk from the apartment. Her communication throughout was very prompt.
One thing to be aware of is this is not a quiet neighborhood and there is a significant amount of neighbour noise. You will hear traffic (passing motorbikes mostly) well into the night and you will hear the neighbours. We were fine with earplugs for sleeping. This really is part of living in the heart of a city such as Naples, so you'll have an authentic experience. Great location, especially if you want to walk a lot, which we did!