It’s touristy and it’s often chilly but you can’t beat a ride on the canal boats. They ferry tourists on a guided tour by sea around the capital and through the maze of canals. Yes, you get to see The Little Mermaid - don’t worry - although your photo will be populated by tourists on shore doing the same thing as you.
It’s a great way to get acquainted with the city and get a bit of history thrown in - in three languages. I loathe to admit it but even as a local I look forward to having guests from out of town solely because I get to take them on a refreshing canal boat ride.
All the boats depart from Nyhavn - the canal that ends at Kongens Nytorv. Most of them have a hop on - hop off system. Prices vary but count on roughly 30 kroner.
Various companies depart Nyhavn throughout the day.
Most of the museums in Copenhagen are closed on Mondays - go to Roskilde. Visit the medieval cathedral with its royal tombs and wonderful ironwork, then walk down the hill from its west end to the fascinating viking ship museum. It's a group of skeletal wrecks, reassembled after being brought up from where they were sunk to block access, with good interpretive displays, modern full-size rebuilds done by traditional (take a tree trunk and an axe) methods, and, in summer, the chance to take an oar on a short trip out in one of the replicas.
Lots of hands-on activities for children too. It's on the water's edge, with a cafe, and there are more conventional boat trips for those who never fancied being a viking crew member.
Half an hour by train from Copenhagen. There are lots of trains as it is within the local transport net: can use the zone 10 punch strips.
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