A Naples lodging question: We'll be in Italy the first few weeks of May and will take the train from Rome to Naples the morning after our RS tour. In Naples, we plan to store our carry-ons at the hotel, visit the Archeological Museum, then get an overview of the city (Hop on Hop off bus or RS walking tour) before checking in. The next day we'll take the Circumvesuviano to spend the day in Pompeii and Herculaneum, return to Naples, then leave the next morning on the regular train for Salerno.
Our question is: what part of Naples would be best to stay in that would be relatively close to the train station(s) and the museum? We'd like to be able to walk around and enjoy the city in the evenings - I think it stays light for quite awhile that time of year - so hope to be somewhat centrally located and not in the "grittiest" areas. We like nice but reasonably-priced "local" hotels as opposed to the 5 star types.