Onwards and upwards - now we need a Copenhagen hotel!

4 weeks on, my mum is making slow and steady progress, particularly over the past few days - dare I say she has turned a corner?

Anyway it's looking good for myself and faithful travelling companion for our planned short break to Copenhagen in just over three weeks time.  In an ideal world I would have been there for ESC week but the rip-off hotel prices would have blown our holiday budget for the year (and beyond).  It was a difficult decision to make, but eventually we decided to hit the Danish capital a couple of weeks after ESC.

The flights were booked some time ago, but now we will need to book a hotel.  After some considerable research over the past couple of weeks, I'm none the wiser.  What's the best area to stay in, for a short break to Copenhagen?  All helpful suggestions welcome :))