The four Chairman Suites at the Palazzo (from $25,000 per night) each measure around 8,000 square feet and have three or four bedrooms, side-by-side dry and wet saunas, an exercise room, a massage room, and a karaoke room with wraparound couches and padded walls. The toilet seats in the master bathrooms rise as you approach. Each patio is equipped with a plunge pool and hot tub and two TVs. Butlers are on call around the clock and can schedule hair appointments in the suites’ private salons, which are equipped with shampoo sinks and barber chairs. Rates From $25,000 per night.