A good-sized apartment somewhat outside of the normal tourist areas. We visited during August, so I'm not sure if the quiet environment we experienced was normal (since so many locals were on vacation), but it was a nice place where our young child could get some proper sleep at night.
The apartment is a bit rough around the edges, but it contains everything you might need during your stay. You have to walk a bit to get into the main old town area, but we thought it was worth it to be close to some more local places.
There is an excellent bakery just around the corner (Panaderia Ana) and a great market slightly further down the road (Mercado de la Feria) where you can buy fresh groceries in the morning and come back at night for a drink and tapas.
Thanks to Cristina for a great time in Sevilla!