We chose a hotel which was close to the station and walked there in about five minutes. The buildings in this area are mainly built of brick. I don't suppose there is much stone available in this area.
After a short rest we went back to the station to get our rail pass validated and I bought a local sim card for the smart phone. Significantly cheaper than in Canada.
This part of Copenhagen seems well worn and a little run down. We walked along to see City Hall and the statue of Hans Christian Anderson then bought some food and called it quits for the day.