It's the nicest city in Northern Europe. You are missing out big time.
Don't care about different names for the parts of the city (though recognize some), but the build/separation of the city is unique enough for it to be referenced as very distinct for those familiar with it.
I'd recommend Quebec. Or Vancouver, you'll love it there and lots of huge open greenspaces that made to running trails and dope food joints. Copenhagen is too close to your usual shit, hop on a plane bro.