Denmark's capital makes more sense from a bicycle seat than from any bus tour.
Rent a bike the moment you land — everyone does, and the city's dedicated lanes make cycling calmer here than walking is in most capitals. Start at Nyhavn's candy-coloured harbour houses first thing, before the tour groups arrive, then pedal along the water to the mermaid statue everyone photographs and few linger at.
Spend an afternoon in Torvehallerne food market for a smorrebrod lunch, then cross into Christianshavn for the crooked spire of Vor Frelsers Kirke and a wander through the loosely-governed streets of Freetown Christiania. Copenhagen rewards an unhurried pace more than a checklist — budget real time for canal-side benches and a coffee that costs more than it should.
Save an evening for Tivoli Gardens, lit up and slightly absurd in the best way, and close the weekend with a swim at one of the harbour baths if the season allows — Copenhageners jump into that water year-round, and a long weekend is exactly long enough to work up the nerve to join them.