We spent several days in Copenhagen before our departure, in addition to ensuring you make embarkation, it is truly a beautiful city to visit.
Embarkation went very smoothly, took a maximum 10-15 minutes to give the luggage, get the sea pass card, photos taken etc. Disembarkation was great as well, we did the express disembarkation and were able to keep our luggage and just walked off the boat in the morning (no lines, no fuss).
The ship, while being older, is beautifully maintained - there are a lot of bars and lounges and places to spend your time on the boat. The solarium was great for this (Norwegian Fjord) type of cruise since the weather is not particularly warm. For this reason, Royal Caribbean also allowed children in the solarium (typically adult only) during 10-12 and 2-4. Unfortunately, they poorly monitored this and children were screaming and crying in there all day long.
In Bergen we visited the town on our own on foot. I recommend the cable car up the mountain & the fish market.
Beautiful city but was small and not much to do if not taking an excursion.