which way is best to travel from chaozhou to qingdao? by air or by train or bus???

There are no direct train and buses between the two places.
There is only two direct flight from Jieyang Chaoshan Airport to Qingdao on Monday and Wednesday. If your time is available, it is suggested to take the flight directly.
I think Guangzhou and Shenzhen nearby are worth seeing.

Edam,

which airline you are suggesting?? how long between the 2 cities by flight?? and from qingddao, any direct flight to west malaysia - kuala lumpur???

Hi, flight no. CZ3855 by China Southern Airline fly for this journey, but it stops over along the journey for around 2.5h. Besides, it does not fly every day. Therefore, you'd better make sure it operates for your travel-time.