The Lap of Luxury

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Breakfast at Nimb Hotel, a Moorish-inspired palace on the grounds of Tivoli Gardens that's the premier luxury accomodation in Copenhagen. Have your personal butler arrange delivery of dishes from any of the on-site gourmet restaurants, or graze the complimentary breakfast buffet at the Brasserie.
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Travel by private car to the Rosenborg Castle, once the favored residence of 17th-century King Christian IV, where the paintings, sculpture, objets d'art and decorative weaponry of the monarch are on display. The crown jewels of Denmark can also be viewed here, when they're not in use at state functions. Guided tours of the museum can be arranged in advance.

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Spend the second half of the morning contemplating the stunning collection of modern art at the Hirschsprung Museum, amassed by tobacco manufacturer Heinrich Hirchsprung in the late 1800s. This is one of the most comprehensive collections of the Danish Golden Era in the world, and the paintings are presented with care in a setting meant to be intimate and approachable. The neoclassical mansion that houses these works is impressive in its own right, so be sure to notice the design details.

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Lunch is at Relae, a recent addition to the New Nordic scene in Copenhagen. The multi-course tasting menu changes regularly, but the dishes are always focused, fresh and flawless. Head chef Christian Puglisi worked at Noma before opening his own restaurant, and the influence of his time there is clearly seen in the playful approach to classic methods. The menu also reflects his  Italian background, as well as a stint working at El Bulli in Spain.

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After lunch stretch your legs in the open air at the Botanical Gardens on the grounds of Copenhagen University. This is a tranquil spot, with winding brick paths, gazebos, swan-studded lakes and flower-filled greenhouses. Take a moment to look around the small but neatly wrapped geological museum, and stop in the gift shop where you can buy honey gathered from local bees.
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As cocktail hour rolls around, head over to Balthazar. Just to the rear of swanky Hotel D'Angleterre, this hip spot perfect for a few glasses of bubbly with some oysters or caviar for good measure. It can get noisy later on but is perfect for pre-theater drinks.
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From here you can walk down to the water and take a short ferry ride direct to Copenhagen's Opera House. This is one of the most modern opera houses in the world, and shows here are regularly sold out.
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After the show, it's time for dinner on the terrace at the design-centric Kahler i Tivoli inside Tivoli Gardens. At night, the beautiful grounds sparkle with a tapestry of fairy lights, a magical backdrop for the innovative regional cuisine on the menu.