Other Copenhagen Recs:

Reffen food market - Global cuisine in a street market comprised of former shipping containers. Also a short walk from Mikkeller for drinks.

Juno the Bakery, Andersen Bakery, Buka Bakery are all great for pastries. IMO if you're trying to save a bit on $, we started going to bakeries for lunches and it was better than trying to find a sit down spot for lunch.

Studio Kitchen, Atelier September are both great for breakfast.Prolog Coffee was great, also just around the corner from Juno the Bakery.

+1 to all the recs for the Louisiana Museum of Art (also, their restaurant is incredible, highly reccommend!)
We also loved Design Museum Danmark, Rosenborg Castle + Christainborgs Palace. Double check the places you want to visit aren't under construction - we planned so far out in advance that we didn't realize some spots were closed when we went, like the Botanical Gardens were slightly closed off.

Kod has a three course dinner that was wonderful!

Aurora Ismejeri had fantastic ice cream, got a flavor that brought me back to the push pops of my childhood.

Studio Arhoj has super cute ceramics for shopping.
The thrift scene + clothing shopping in general is great around Copenhagen, there's also a ton of ceramics and glass shopping. Prep your suitcase for whichever you think you'll take home more of!

Tivoli Gardens had the best museum gift shop imo. So many of them had good options but I loved Tivoli's the most. Make a reservation for their restaurant ahead of time if you want to try a Michelin star experience and plan to visit.

Nyhaven is fun for the views but the food is very tourist trap-y. If you don't go to Reffen, there's a food market even closer to Nyhaven that's also great!

Lastly - Rhubarb is a super popular flavor in Denmark, as it's one of the first things available in the spring/summer. You can find a lot of rhubarb cocktails, treats, juices, etc (at least when I went, we were there in July. I loved the rhubarb popcorn at Tivoli and our hotel had a great cocktail.

Have so much fun! We went for our honeymoon and had such a wonderful time 💕