We stayed here for four nights and loved it! We were here with our two toddlers (3 and 1.5 years). It is a beautiful top floor apartment accessible by elevator. The bedrooms are spacious and beds are comfortable. The kitchen was well stocked and the laundry facility was very helpful with two toddlers.
Getting to the Airbnb from the airport was easy, although I would recommend you take public transport all the way to the Airbnb. We decided to walk from the central station (20 min walk), but with two large suitcases and a double stroller through Gamla Stan and its cobblestones (uphill too!), it was not easy.
The Slussen subway stop is a short walk away and there are many great restaurants and bars, with some literally around the corner. The ferry stop to get to Djurgården is only a short walk away.
For those with little kids, there are a few steps in the Airbnb (up a few to the dining table and stairs to a cellar of some sort) that required special attention, but it was otherwise great for our kids.
Overall, I would highly recommend this Airbnb and the host was awesome to work with!