What are the specific time-saving and money-saving routes from Zhangdian, Zibo, Shandong Province to Chengde paddock, Hebei Province?

This is very contradictory. Saving time is definitely not saving money, and saving money is definitely not saving time. I suggest you take a bus from the local area to Beijing. Beijing Liuliqiao Bus Terminal has a direct bus to the paddock, saving time and money.

If you want to save money, you can also take the train. The train to the paddock leaves from Beijing North Station, and you can buy a ticket to the Siheyuan. Of course, the quickest way to get there is by car.