A part of the University of Copenhagen's Natural History Museum, Copenhagen's botanical garden may be a place of scientific research and conservation value to the academics who nurture it, but to visitors, it is a vibrant, blossoming oasis in downtown Copenhagen. With trees, flowerbeds, a lake and a cafe, visitors are welcome to relax in the garden's natural ambience at no charge; however, as a research facility, there are strict rules about behavior: No running, cycling, climbing trees or picking flowers is allowed. If you can handle that however, enjoy the peace and if it's cold or raining, go in the old, 19th-century Palm House - a wonderfully romantic refuge with a distinctly tropical climate.
While a museum of postal and tele communications might not seem particularly fascinating, this museum, located in the old Copenhagen post office not far from the Round Tower, has done a great deal to make its exhibts appealing to families in particular with large play area, free entry, digital and interactive exhibits, kids' activities during school holidays, and a top floor cafe, Hovedtelegrafen, with one of the best views in Copenhagen. It's also accessible for the disabled, with provision for both hard of hearing and visually impaired visitors. Permanent exhibitions follow communications in Denmark, from the establishment of the King's Postal Service in the 1600s through to today's digital age.
Amalienborg Palace, the residence of the Danish Royal family, is guarded by a team of blue trouser-clad soldiers in tall black furry hats who stand watch around the hexagonal royal 'square'. Changing of the guard takes place daily at noon at Amalienborg Palace regardless of the weather. After 24 hours on duty, the guards are relieved by the next shift, who arrive from Rosenborg Palace in Kongens Have in formal marched parade. Whether or not music will accompany them depends on the royal circumstances: When the Queen, Dronning Margrethe is in residence, the guards will be accompanied by marching band; when a prince regent is present (Prince Henrik or Prince Joachim or Frederik, acting as regent), by flutes and drums.
The small, unassuming figure in bronze of Hans Christian Andersen's tragic heroine sits patiently on her rock, her head bowed, climbed on by tourists and buffetted by the waves. You might want to hate her, this rather over-rated tourist attraction that's been the icon of all things Danish since she was first unveiled back in 1913, but you may leave Langelinie feeling sorry for her, she who has falled victim to graffiti, politcal actions and even her own beheading in a famous artist's happening of the 60s. Still, the walk up here from Nyhavn is pleasant, and the nearby Amaliehaven Park looks lovely on a warm summer's day. Alternatively, many people take in the landmark as part of a canal tour.
If entry charges to Tivoli seem a little steep for your pressed budget, you might want to check out Bakken, generally considered to be the oldest amusement park in operation in the world (it dates from 1583). While the rides will cost you the price of a ticket (multi-ride armbands are also available at the ticket booth by the entrance), there are still a lot of free attractions in here, including the regular musical shows for both children and adults, the many bars and cafes - and of course the chance to wander around the surrounding area, a beautiful royal hunting park, Dyrehavsbakken. Located north of Copenhagen, Bakken is a short walk---or pony and trap ride--from Klampenborg S-Toget station and attracts over two million visitors each season (from late March to end August).
The Frilandsmuseet, or Open air Museum, is an annex of the Nationalmuseet located in Lyngby, a rural suburb about 20 minutes by S-Bahn from downtown Copenhagen - get off at Sorgenfri and then take bus no. 184 or 194 to the museum gate. An ideal day trip for families - at least on a day of good weather, as (like the name suggests) almost everything here is outside - Frilandsmuseet is an authentic recreation of farming life in Denmark over the past 350 years, with houses, and mills having been literally moved here from other parts of Denmark. Farm animals, from pigs to hens, roam freely, staff wear period costumes and historically-accurate activities take place in the many open farm buildings.
Definitely one of Copenhagen's best parks as well as its largest, the romantic landscaped gardens of Frederiksberg Have date from the late 18th century and were built in the English style popular at the time. The long lawns and avenues of trees lead up to the royal Frederiksborg slot (now an academy for Danish military officers and not open to the public), and are hugely popular during summer for picnics and ball games. Paddle boats can be hired for fun on the park lake in season, and there is a large children's playground on one side of the park (restrooms can be found nearby). Other attractions include the Chinese pagoda and Apis Temple of 1802. A wilder expanse of public park, Søndermarken, extends southward from Frederiksberg Have, as well as the local zoo.
Should you be hard-pressed to run to the price of an ordinary guided tour, free guided tours are offered by Sandemans, similar to the city tours offered by the company in other European cities. The tours are run by a number of international volunteers, all of whom have chosen to make Copenhagen their home, and who can be found outside Copenhagen City Hall on Rådhuspladsen at 11am and 2pm daily; just look out for the red Sandemans T-shirt. The tours take on 6,000 years of local history, starting with Bishop Absalon and taking visitors through the Viking era, the abodes of Hans Christian Andersen and Copenhagen's contribution to World War II resistance, up to the present day's Royal Family. All tours are in English.
The National Gallery of Denmark is located a short walk out of the city center in the midst of an attractive park, Ostre Anlaeg, which was once part of Copenhagen's ramparts, The architecture is a fascinating melding of the original, red brick building designed by Dahlerup in 1896 and the modern wing, linked by the glass-roofed Sculpture Street, a vast corridor flanked on one side by immense windows giving way to a beautiful view of the surrounding park and lake. The museum's permanent collection includes Renaissance masterpieces, French art from the early 1900s, older Scandinavian works and an extensive 20th-century collection, spread over some three floors. The museum is user-friendly, with elevators, electronic guides, free buggies and a kids' section. Admission is free: changing exhibitions come with a separate charge.