Let me share a small secret. Filtered water is provided free of charge in all police and fire stations across the island. A few also have a floor pump. On a recent ride along the North coast, we were treated to oranges by the police officers in a station before heading off. I know this sounds unreal, but it is true. Bikes are also allowed on the MRT network, making Taipei super-convenient.
Aiming to describe all possible routes around Taipei would be a multi year project, so let me instead focus on one popular meeting point and four great climbs.
7-Eleven has got all of Taiwan hooked on convenience. The franchise is all over the island and provides a great place for cyclists to grab a bite, use the ATM, go to the toilet or pick up the laundry from your last ride. One of the most popular meeting points for cyclists in Taipei is 7-Eleven just opposite the National Palace Museum on section 2 of Zhi Shan Road. If you show up there with your bike anytime between 6 or 8 on a Saturday or Sunday you are bound to find a group-ride