Let me start by saying: I adore Copenhagen. In my youth my best friend was Danish and her mom taught me the joy of aebleskivers (a pancake type food shaped like a tennis ball). When I first visited Copenhagen I was on an aebleskiver quest -- and I was successful. [pats tummy happily] Copenhagen is one of the most walkable cities in the world, where bicycles are a way of daily life, and where every turn presents you with a photo op. People are friendly and speak flawless English. In many ways, Copenhagen feels like a small town instead of the big city it is.
The other reviews here present comprehensive tourist information, so I won't repeat it. Let me just add my comments to what has been written.
When in Copenhagen, I eschew hotels and stay in a private apartment along the waterfront, within walking distance (even in the dead of winter) to downtown: http://www.ao-house.com/ Olav has two bedrooms in his fourth floor apartment that he rents out, each with a lovely waterfront view, television, beds, sofa, dining table, internet connection and coffee/tea maker. He provides use of his kitchen, and there is a shared bathroom. It is clean, quiet, convenient -- and comes with Olav, who is friendly and ready to give advice about his home city. As a woman traveling alone, I like having "someone at home." I also savor the feeling that I 'live' in the city I'm visiting.
It was Hamlet who said "There is something rotten in the state of Denmark" and let me end by telling you where I found it. Near the Central train station (Hovedbanegaerden), right across the street from the Grand dame of amusement parks, Tivoli, I fell victim to pickpockets. I was, and remain, angry at myself -- I am always warning fellow travelers to keep valuables in a moneybelt, and I failed my own advice. The clasp was loose, so I put my moneybelt in my backpack until I could find a safety pin. Within ten minutes a pickpocket had robbed me. I never felt a thing. I don't recall being jostled, or even near other people. The traffic at the police station in the Hovedbanegaerden bears testimony to the efficiency of the thieves: every five minutes a new victim arrives. The police have their assistance down to a science: you are handed a telephone and a list of phone numbers for credit card companies and banks in your home country.
Losing my credit cards, cash and airline tickets was enough trauma that I could write a book. Let my sad experience serve to remind you that Copenhagen, and all cities, warrant your being cautious with your valuables.
By the way, I am already planning my return to Copenhagen. Copenhagen is a city of wonderful cafes and coffee houses, and I plan to expand on my exploration of the joys of Danish pastries.
Recommended:
Yes
Best Time to Travel Here: Anytime