Hi, my name is Richard Chang. I live in Beitou, Taipei. A famous resort area near northern side of Taipei and famous of its hot spring resource. I am very familiar with the Yangmingsan National Park and would highly recommend visit the beautiful park by using bicycle if you plan to have one day to visit.
You will skip the up climb route from Beitou and start to ride at the half way to save time and energy. You will visit the most beautiful part of the park and enjoy the fresh taste of the local food include delicious vegetable and chicken dish. You will also see the downtown Taipei from mountain high and visit the exciting trails in just one day.
If you had enough time for the tour after. You can also try to enjoy the hot spring after one day sweat exhaust. And enjoy a delicious cuisine at Beitou resort area.
The easiest arrangement I would recommend is that pick a hotel like "aloft" just at Beitou and start to venture the most interest fun you would imagine when your next visit at Taipei.
I would also suggest the meet up location at MRT Beitou station or aloft Beitou hotel. Currently the guests are limited at 2 persons maximum in one day trip.
The meal fee and bicycle rental fee is not included. Suggested time schedule is between Monday and Friday. Usually the weekend is more crowded with cars and not suitable for bicycle riding easily.
Please contact me by using the chat function for detail. Thanks.