I stayed at Eva's place for a whole month. It is located a few roads into a residential area and overall a quiet neighborhood (you have the occasional obnoxious scooter with no muffler flying down the street). The room is small, but more than enough for a single person. Eva has the place stocked with little details that were appreciated such as detergent, and even things like face masks, band-aids, and oil absorbing sheets.
It is really close to MRT station and 24/7 convenience stores. Note that if you are doing a long term stay, you will need to take out the trash yourself as it accumulates (in Taipei, there are locations you must walk to with your trash). The garbage pickup location was just down the street, so it was not a problem at all.
I'd definitely recommend Eva's place for a stay if you are looking for a more residential area! Living by the brown line also makes it very easy to visit central areas of Taipei! Well worth the price