There any transportation cheap than taxi from baiyun airport to heefun apartment hotel in Guangzhou

Sure, actually your hotel is only several kilometers from Guangzhou East Railway Station. So you can take Airport Shuttle Bus Line 6 at baiyun Airport to its terminal station which is close to Guangzhou East Railway Station. It only costs CNY 20 and takes about 60 min. After getting off, you can take a taxi to your hotel with a taxi fare of about CNY 20.