We loved Ricky's place in Alfama, which is just the best part of Lisbon to stay in! A gorgeous, un-touristy neighbourhood, with tiny streets and stairways, and too many places to choose from for eating and drinking.
The apartment had everything we wanted, and we were given lots of very helpful advice on arrival.
Also, don't bother getting a taxi - 2 metros (red then blue) or a metro (to Oriente) and a train are the easiest way to get to Santa Apolonia station. Buy a viagem pre-paid transport ticket and it's less than E1.50! Then just walk uphill 10 minutes and you're there!
Thoroughly recommended!