Looking for a studio or room pet friendly

Looking for a studio or room in Reykjavik that allows pets.

We're a young married couple with a dog looking for a long term studio or room in Reykjavik, can be nearby the area as well as long as it's close to a bus stop. We both work downtown and have secured contracts to pay rent and can get recommendations from our house mates, as we haven't rented anything for ourselves yet, since we moved to Iceland almost a month still.

We're very clean and tidy people, don't drink or smoke inside the house and we're also very quiet. Our dog is a very sweet labrador, doesn't bark inside the house and she's trained. Extremely friendly towards other animals, people and especially children.

We want something as soon as possible or from August �� please contact us, we can meet up to visit the place and also to get to know us.