Just back from a trip to Taipei. It's a great city to cycle in, the city limits I guess are mainly flat, so a single speed is a perfect tool, indeed the share bikes shown above, in front of the city hall, would be more than adequate. The cycle paths around Taipei are also very impressive, and cater not only for commuting, but also more leisure orientated rides.
Below are details of a Sunday afternoon ride I did, 95% was cycle paths.
And here is a map of the cycle path system. Click on it to enlarge.