On a week-long visit to Copenhagen, I went on a morning run in October 2021 to Amager Strandpark. I…read morehighly recommend it. Here's why:
1) Space: It's a beach with views of the industrial part of Copenhagen. During non-summer seasons, its less crowded and a great place to dog walk or run.
2) Design: There are two areas with restrooms and shops open during the winter. They are cement blocks, but with brutalist design.
There are several restaurants nearby if you want to make a day of it!