Family friendly apartment near downtown Reykjavík

Our apartment is 120 m2 and on the second and top floor of an apartment building. It has four bedrooms, a fully equipped kitchen, bathroom and living room with TV. We also have a washer and dryer in our basement in a shared washroom. The bathroom has a bathtub with shower. One bedroom has a king size bed, the other 3 have single beds. We can provide extra mattresses if needed, which would fit easily in at least two of the smaller bedrooms. We also have a tiny balcony, and out there we have a BBQ. Our home is ideal for families with kids as we have kids of our own and many toys to share. Some baby items can be provided, as we have them in storage. We also have PS4 and Wii, which can be good for rainy days.
The garden outside the house is small, but feel free to play in it.
At the end of our street there is a preschool, and on weekends you can play in the garden there. We also have a park about 5 min. walk away with a playground.