We're planning a trip to Copenhagen, staying for four nights before embarking on a self-guided cycle trip, and then two more nights after. I'm looking for hotel recommendations that are centrally located, comfortable, and ideally with some local charm. Since we'll be cycling, a place that's bike-friendly would be a huge plus. Any suggestions on where to stay? Also, if you've done a similar trip, any tips on what to expect or prepare for would be greatly appreciated.