Birding in Denmark: where to go?

I’ll be flying in and out of Copenhagen – my first time visiting Denmark (woo-hoo!) – near the end of August. I’ll be meeting friends (my reason for the trip), but as I often do when I travel, I’ve added a few days specifically to go birding/wildlifeing. I’ll check iNat for obs, of course, but would love ideas/suggestions from others!

Where might I go when I have just a few days spend?

Not a birder and not familiar with Denmark specifically, but you might find some ideas here: https://www.birdingplaces.eu
There seems to be an assumption for many of the listed places that one will have access to a car, but there are often notes about how to reach it by public transport/bicycle.