Francesco and Erica were very accommodating. The B&B was next door to the National Archeology Museum and about a 20 minute walk from the Catacombs of San Gennero. Dei Via Tribulani is packed with restaurants and other sightseeing options and is also about a 20 minute walk. Don't miss the Sansevero Chapel and either of the 2 underground tours.
The hop on hop off bus is OK at best, but provides a view of Naples you may not otherwise experience. Naples is a combination of chaos, crazy drivers, throngs of people, and is overall very gritty and old. But Naples is also fascinating in its own way.
You can take the train to Herculaneum, Pompeii and to Sorrento. Keep in mind, the summer months are brutally hot, so plan accordingly.