If you feel like getting a bit of Danish culture when visiting Copenhagen some local stars shine brighter than others:

Places to see
Tivoli
The magnificent Tivoli Gardens - Vesterbrogade 3 - are a living confection of tulips, roses, and water features. When you visit, take time to enjoy the manicured beauty of the gardens, whose name is derived from an Italian town famous for its fountains. The peaceful lake is often dotted with ducks and swans, and live entertainment is offered most nights, ranging from theater performances to musical concerts. After dark, the light displays are incredibly beautiful. BUS: 1, 16, 29 goes there or you can use one of the many city bikes available for loan across the city.

The Danish National Museum
You can chart the origins of the Danish people at this museum, which is regarded as one of Europe’s best. Exhibits are divided into five distinct sections: Prehistory/Middle Ages to Renaissance, Palace/Museum, Royal Collection of Coins and Medals, Egyptian and Classical Antiquities, and Ethnographic (essentially, relics of Eskimo culture). BUS: 1, 2, 5, 6, 8, 10, 28, 29, 30, 32, 33, 34, or 35 goes there.

Amalienborg Castle (home of our Queen and her husband the Prince)/ Marmorkirken (The Marble Church)
Known for its Rococo design, this palace was built as the winter home for the Danish royal family and is actually composed of four individual mansions. Each one faces a cobblestone courtyard, and although they’re identical on the outside, all the mansions boast interiors that have been distinctively decorated. The royal residence since 1784, the palace currently has 12 rooms open for public viewing. Museum exhibits cover the period between the late 19th and late 20th centuries. BUS: 1, 6, 9, or 10 goes there.

…and, on the other hand - when in Copenhagen, do as the Copenhageners:

First of all, get a hold of a bike. The city is far better experienced by bike than bus, Metro or car.

Christiania/Christianshavn
Visit the last bit of hippie-Denmark at Christiania which is situated in the district of Christianshavn - The Danish version of Amsterdam’s channels.

From the walk and Talk meeting of Anders and Wulff today

Vesterbro
A bit dodgier than the other parts of the city but fascinating. Take a walk down Istedgade, from the Central Station and experience…ahem…different kinds of people. Also a good place to visit bars in the weekend (Vega, The Meat Packing District (Kødbyen), Bang & Jensen and many more)

Søerne (the lakes)
Built as part of the fortress of Copenhagen but nowadays a perfect place for a run, stroll or just for looking at people (primarily in the weekend)

Kongens Have and Rosenborg Castle
Relax in one of the best parks in the city with one of the most beautiful castles in Denmark - Rosenborg Castle.

Islands Brygge
Fancy a swim in the harbor? Then go to Islands’ Brygge. Really, really crowded when the weather’s nice.

Places to eat
Copenhagen is filled with many good restaurants. I have assembled a small collection of links to the ones that will treat you with an experience that will make you want to come back next year.

Expensive but brilliant, book a table if you can get one:

Restaurant Geranium
Kronprinsessegade 13
DK-1306 København K
Tel. +33 11 13 04

Restaurant Paustian
Kalkbrænderiløbskaj 2
DK 2100 -København Ø
Tel.+ 39 18 55 01

Restaurant Noma
Ny Adelgade 7
DK-1104 København K
Tel. +32 96 32 97

Restaurant Formel B
Vesterbrogade 182
DK-1800 Frederiksberg C
Tel. +33 25 10 66

Restaurant Kiin Kiin
Guldbergsgade 21
DK-2200 København N
Tel.+ 39 18 55 01

Restaurant King Hans’ Cellar
Vingaardsstræde 6
DK-1070 København K
Tel. +33 11 68 68

All of course have Michelin stars

I sincerely hope you will enjoy your stay.