Santa Lucia is also close to some of Naples’ best tourist attractions like Teatro di San Carlo and the Royal Palace of Naples in Piazza del Plebiscito. Alternatively, the coastal neighborhood of Santa Lucia is the best place to stay in Naples to be near the ferry. The best area to stay in Naples for first-time visitors is Centro Storico. Which is the best area to stay in Naples, Italy? Centro Storico is the best area to stay in Naples for first-time visitors and budget travelers.