Flying from the US, we have four days on our own in Copenhagen before we join a 3 day city tour of Copenhagen. I am looking for specific things to do and more importantly I really need help with a time table to do these things and suggestions of what more we should do. We love Art, culture, shopping, bike riding and food tours, thinking of: The Lousiana Museum of Modern Art (can't wait,) Flugt Refugee Museum, Aros Aarhus Art Museum, Food tour and a Jewish walking tour, I would love suggestions for non commercial small shopping areas. We would like to take a bike ride in and around the city, should we do this on our own? I'm looking for other bike rides with out of the city destinations.
When? For art you should not miss the Carlsberg Glyptotek in my opinion.
If it's not already part of the tour itinerary, Design Museum Danmark might be right up your alley. In addition to having a cool collection of art and design and a variety of thoughtful temporary exhibitions, they just reopened from a lengthy renovation and the results are gorgeous.
Aros Aarhus Art Museum
And if you like a bit of royalty, wait on the corner of Gothersgade and Rosenborggade (GPS: 55.68416005999518 North, 12.574961421397141 East) at 11:27 (NOT 23:27) and follow the Queens Guard going from their barracks to Amalienborg to take over the duty. Note: They walk at a brisk pace (as soldiers do) so if you are not up to that, it might be better to wait in Amalienborg for their arrival.
Take the train to Roskilde to visit primarily the fascinating Viking Longships museum, but also stop at the cathedral on the way back. All doable in one long day. Bit of a walk through the town to the Longship museum.
The other side trip we did was also by train to Helsingore (Elsinore of ‘Hamlet’ fame) where we visited the castle.
There’s more than enough happening in and around Copenhagen to fill your time!
We are looking forward, leaving soon, we are looking for a Jewish walking tour to join?
I'd suggest buying a Copenhagen Card. We bought ours at the TI near city hall. They were very helpful with specific questions about getting from Roskilde to Lejre (? pronounced liar).
I personally like history and the open-air museum, Land of Legends, at Lejre was one of our favorites. They have a recreated Iron Age village, Stone Age village and Viking Age village. People in costume can answer many questions about life during those periods.
I would suggest an organized bike tour. Copenhagen really is busy and it is good to have a tour guide that knows where to go. There are various tours you can take for food, architecture, tourist spots etc. It usually includes a bike.
We were in southern Denmark for a week in Svendborg. I was able to rent a nice bike from the hotel for a week for $100. Much slower pace down there so no guide needed.
I second buying a Copenhagen Card. We were there for the same amount of time as you propose and it was well worth it!
As for sights Rosklide is a very easy side trip from Copenhagen as others have pointed out and very much worth a visit for the Viking Ship Museum and the church. We found the community rather charming. We did this as a day trip arriving back in Copenhagen in the late afternoon. Biking is everywhere in Denmark so if you are into that you won't be disappointed. Rick's book mentions "Bike Copenhagen with Mike" as a great city bike tour https://bikecopenhagenwithmike.dk/ . We did not take it ourselves but did come across one of their groups and it looked like all were having a great time.