Piazza di Brancoli is the heart of Lucca. Condominiums of some very well to do people are scattered between cathedrals, private academies, businesses. Gruppo Palmata's headquarters is located here. Downtown also has quite a few establishments catered to the nighttime crowds.
Torre Alta is home to many skyscrapers and large buildings. It's fairly close to downtown and not too far of a commute to Ponte a Moriano. Not only can the headquarters of Associazione San Vito and La Corporazione Agata can be found here, but also the city's own university calls this area home.
This is the residential district of Lucca. Several highly influential families have major estates in this area as well as several apartment complexes. There's also a nice prestigious school in the area to cater to the suburban children.
Old Town Lucca. This was once the city of Lucca but the city has grown so much that Lucca Vecchia is now a rich historical district of the city. Most buildings are over hundreds of years old and even the original architect of an ancient amphitheatre can be found here though it's been restored and currently in use for events to bring in revenue.
Now, some Masters don't want to make their base of operations inside the city, because it's common sense that the city supervisor would know all about the topography. For those people from old, filthy stinking rich bloodlines, the answer is simple. If you don't like the city, build a place just outside it! The surrounding countryside provides a great view, not to mention a great place to stay just out of other Masters' reach.