Although both are located in the Nantou vicinity, the distance between those 2 places are quite far apart.
1. Taxi / Cab
The most convenient option would, of course, be by taxi or cab.
Downside is that this option would be expensive unless if you have a group of people traveling together to share the expenses.
Taxis can be found near the Shuishe Pier of Sun Moon Lake. Alternatively, if you spent a night in one of the minshus around this area, you could ask the owner or minshu operator to call a cab.
2. Public Transport
Take the public bus (Nantou bus) from Shuishe Visitor Center to Puli (around TWD 64), then transfer on another bus to CingJing (around TWD 127). The journey will take between 1.5 and 2 hours.
3. E-go bus
E-go bus is among the several bus companies providing transportation options in popular tourist destinations.
At the time of writing, the one-way fare is 450 TWD and the journey takes roughly 70 minutes.
The schedule can be found here: http://www.cingjingbus.tw/ratesaschedule.html
Advance reservations are recommended.
