Begin with dinner in the meatpacking district, Kødbyen. Once the centre of the city's meat industry (Kødbyen literally translates to "meat city") the area has seen a surge of new nightlife and high-quality restaurants - partly due to a conscious decision by the council who owns the district's warehouses. Try the 10-course tasting menu at Gorilla, based around inventive Mediterranean cuisine. Alternatively, Restaurant Cofoco offers an exquisitely presented four-course tasting menu (with paired wines) inspired by contemporary Nordic cuisine.
It's rare that an amusement park should have such a dominant presence within a capital city, but Tivoli is a world of its own and worth a visit even if you eschew the rides for a walk around its gardens. Dating back to 1843, it's among the oldest of its kind (the oldest is Bakken, further north in Klampenborg). It's an easy way to blow a ton of cash on a myriad of unnecessary items and activities - including fine-dining options within the park walls. But from the beginning of April, Fredagsrock returns to Tivoli gardens, providing an open-air stage for local and international artists from 10PM on Friday evenings.