Paris is broken up into 20 sections referred to as arrondissements. We would recommend staying in the inner arrondissements, more specifically 1-7, as they are closer to the main sights and local transportation. We stayed in the 4th and loved it—quiet yet plenty to do (night life included), close to transportation, and steps from the Seine River. We were approximately a 30 minute subway ride from the Eiffel Tower, for reference. If you’re looking to splurge on a room with a view of the Eiffel Tower: We recommend staying in the 7th. If you want to be the closest to the main sites: We recommend the 1st, although it will likely be the most expensive. The train station (Lyon or Bercy) that will take you to the Château is located in the 12th, closest to the 4th and 5th arrondissements, but easily accessible by train or bus. The below article explains the other arrondissements and we recommend reviewing it to help determine where is best for your stay.