I have really enjoyed staying at Cindy's place.
Excellent security. Excellent local foods. The sandwich shop downstairs is awesome.
Three minute walk to Ximen Ding. Many variety coffee shops and bread shops.
Many variety of fruit shops and breakfast shops.
Note: the fruits cost twice as much as other places but still very inexpensive.
20 minute walk to Taipei Main station if you want to get out of Taipei.