Dear Tan Huey Chen,
Thanks for contacting Top China Travel!
The cheapest is by train from Bejing to Chengde, and then fastest way is by private transfer. Or you can take a coach at one of Beijing Bus Station to get to Chengde, which takes the same time as private car and cheaper than private transfer. There is no the cheapest and fastest way to travel from Beijing to Chengde.
There is a 6 Days Tour from Beijing to Chengde. If you do not book any tour yet, we can help you with your Beijing and CHengde tour arrangement. We can update the price of this tour for you if you like. But we may need some more details to do so.
1) How many people will travel together?
2)Could you please tell me your tentative arrival date in China?
3)What kind of hotel would you prefer to stay in? 5 star for deluxe hotel? 4 star for first-class comfortable hotel or 3 star for budget hotel?
4) Or you can tell us other places you like to visit in China? we can offer tailor-made tour for you
Any further request or question, please feel free to contact with us.