As the distances between the points of interest are walkable, one can easily explore on foot. However, if needed, there are buses available to travel around the town. Prices are around 420 ISK per trip.
If you have more time, you can visit the Akureyri Museum, which provides an excellent insight into the region's history and culture. However, if you have a limited amount of time, you can skip the harbor promenade walk to explore other attractions. If you are traveling with kids, the Akureyri Family Park and Zoo is a great option to add to your itinerary.