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@Clrnc Copenhagen is immense, spent a good while there right before the pandemic. Stayed in a nice apartment Airbnb in Nørrebro, but I think any of the "inner" areas connected by road to the centre would be fine. The whole city is quite flat and has great bikeshares and bike infrastructure, so that's how I got around.
Public spaces are great fun—lots of good parks, bridges, harbourside places to sit etc. I recommend the little off-harbour swimming café spots if it's not cold. Hiring a boat for a three hour boozy picnic was great fun. The club scene was pretty jaw-dropping for me. Very classy, friendly and hyperactive nightclubs. The Louisiana art museum is cool and the couple of "new Nordic" dining experiences I had were excellent.