My basement apartment is really close to city center, Old Town, the lake Mosvannet and the famous "Ledaalparken". You can stroll to city center in about 15 minutes - passing some of Stavanger's most famous sights as you walk! Short on time? The bus stop is about two minutes down the road.
The apartment has two bedrooms and a big, open, living room / kitchen area. My wife and I live upstairs, and will therefore be easy to get a hold of if you have any questions during your stay.