I think you're right with your price comparison with Dublin, pints might be a little more expensive.
One thing to keep in mind is that when eating out, there can be minimal price difference between a fancy burger place and a place that might win a Michelin star in a couple of years. Unfortunately we went for the former (not my decision) and spent as much as we would have at the latter.
http://www.tripadvisor.ie/Restaurant_Review-g189541-d4258984-Reviews-Bror_Restaurant-Copenhagen_Zealand.html
I just loved wandering around, looking at the outside of the Parliament building where Borgen was filmed. The National Museum was very interesting too. Must get back there soon.