I highly recommend staying at Elizabeth's place.
Just as I was leaving the airport I had a text from Paulo, one of Elizabeth's associates telling me he was waiting for me after the baggage claim, Paulo was super nice and took me on his private car to the apartment for free.
The place was amazing, with all I need. Within walking distance to the Saint George Castle, in the city center and with the famous 28tram passing right in front of our door! Unfortunately I wasn't able to go to the Feira da Ladra because it only happens on Tuesdays and Saturdays, but I will definitely visit it when I come again to Lisbon and Elizabeth's place, if it's free of course because Feira da Ladra is the most renown street market in Lisbon.
If you're a fan of food with mushrooms like me I totally recommend Sta. Clara dos Cogumelos, 150 meters away from the place, every meal they have has mushrooms and is to die for.