This apartment is nice and has a great patio just as you can see in the pictures. It's not right in the old town center but you can reach it within a 15 minutes walk. The underground-stations Centro-Alameda and Renfe Station Maria Zambrano can be reached within 5 - 7 minutes.
There are two supermarkets and bakeries right around the corner. So all in all the location is quite good.
José is a very friendly host and quick in communication. We were welcomed with good wine and manchego cheese which was a nice and attentive extra.
So, as long as you don't mind walking a short while into town, I definitely recommend the apartment.