I can highly recommend Ulriks apartment in Alfama. Its a great place as you are spot in the middle of Alfama, with Restaurants, Bars, shops and many sights just a short walking distance away. I found the apartment very comfortable , if you are staying a few days like myself and it also contains everything you need. Ulriks response was very quick and he is very helpful in answering all your questions.
I therefore highly recommend this place. Many thanks Ulrik :)