You can find many similar (and better) guides on the web. This is my small contribution, mainly for reference purposes.

We had a very nice hotel, Absalon Hotel, close to the Central Station (a couple of minutes away on foot). This was probably not the most interesting and/or beautiful neighborhood, but it was definitely convenient.

In my opinion, you don't necessarily need the CityPass or the Copenhagen Card. As for us, we mainly walked. A lot. We also used an electric bike on the first day, for 2-3 hours. That was really fun (I highly recommend it). We also used the train, the metro and Uber (see below).

We managed to pay everything using our credit cards. No cash at all. That was somewhat unexpected. At some point, we wanted to take the bus, but they didn't accept credit cards inside the bus and there was no ticket machine at the bus stop. We ended up using Uber, which was not too expensive compared to the bus. Note for next time: use the smartphone app for train, metro, and bus tickets.

Day 1 (May 4)

Day 2 (May 5)

Day 3 (May 6)

That's it. We loved Copenhagen and I'm pretty sure we'll visit it again in the future.

My photos (Flickr):