Where that Warpigs is, is called the Meat Packing District. It's a huge square filled with bars/restaurants.
Not sure if it'll be open (it wasn't when i was there), but there's a place called Refshaloen (sp) thats an industrial area that does loads of street food. However whilst the street food places were closed there's a place called Broaden & Build. It's a brewery part of a really upmarket restaurant and had decent beer and also a big open industrial kitchen with michelin level chefs doing small plates. It only opened around 5 weeks ago.
https://broadenbuildcph.com/
Food wise, we had burgers at a place called Hot Buns which was good. But i believe that there's a place regarded even more highly called Jagger. We couldn't find it that night but managed to wander past it a few days later. It's in the middle of the shopping area.
Beer wise there's also a place called the Taphouse which had an insane selection of beers. I think around 60 taps.
I was also told about a Sour Beer bar (i think in the Meat Packing District near Warpigs) but couldn't find it.
We also went to a place called Hidden Dimsum which had great good. Was fairly quiet though (we ate around 4pm) so not sure what it's like at busier times. Otherwise there's a big street called Nyhavn which is alongside the water and has
Copenhagen is amazing though. I mentioned in another thread that it's the one European city i've visited where i could genuinely see myself living there. This may have been helped by some unusually lovely weather.
Where abouts are you staying?