We highly recommend The Writers Terrace.
The location is perfect, 20 meters from Subway City Hall (市政府) exit 1, very easy to get around to anywhere in Taipei. A lot of restaurants and malls near by. The Terence is very nice, and romantic, with candles and lights make the night perfect. Especially good for a smoker. :))
Stephen is a wonderful host, very friendly and easy to communicate, we feel very welcomed, and he gave us many good recommendations about where to visit and where to eat.
Dannii is a super cute and calm dog, very nice to meet both of you!
Every window has installed with screen, that's very important to get fresh air in and prevent bugs.
We will definite visit again.