The itinerary for each city varies depending on a travellers personal preference - whether they want to spend the day on a beach or in an art gallery, shopping in the designer district or the flea markets.
A quick getaway in this capital city would entail seeing these tourist attractions in my opinion and the best way to see them is to cycle around Copenhagen. Copenhagen is called the city of cyclists and rightly so - they have separate routes for people cycling on all their roads and even in the freezing cold one can see cyclists all over the city. If you aren't too keen on that then you can take a hop on/hop off bus tour like we did and they cover all these spots.
The Famous Tivoli Gardens - We were in the city for New Years so the Tivoli Gardens was a major attraction. It was elaborately lit up and had the best fireworks display at 11 pm on the 31st December. The entrance is $16.5 (Rs. 1100) on weekdays and $17 (Rs. 1200) on weekends. Everything that you do inside has to be paid for separately.
The Tivoli Gardens have been around for almost 150 years. It has everything that one needs for a day out from eateries to cafes to theatres and of course rides. This is what gave inspiration for the world famous Disney World all over the world.