Palazzo Marigliano is a fabulous location in the very center of the old town of Napoli. We loved staying in the flat for 5 nights with our three children. We felt comfortable, safe, and privileged to stay in such a wonderfully renovated apartment as the very first guests. We even enjoyed the exercise climbing the 75 steps to the apartment ... but son't forget anything when you go down in the morning ;-)
There are simple but good restaurants and mostly pizzeria at your doorstep, and of course as many Gelateria as your heart desires (our children demanded ice cream mid-day and after dinner again, and we surrendered).
Naples is a vibrant city, still proud of a rich past but suffering from a more difficult economic reality today.
Be prepared: the streets are noisy, dirty, smoking in public remains far more common than in northern Europe, traffic is lively.
We used Naples mostly as a base for excursions to Pompeii, Vesuvius and Heracleon. These are easily reached with the CV railway ... we were surprised by the outdated and crowded condition of the trains (only one air-cnditioned journey out of six).
There are many museums in Naples but we managed only to see the Royal Palace near the port - very impressive. We will be back again soon to visit some of the other cultural attractions.
We conclude our trip with a two-day excursion to the island of Capri.