Guangzhou Airport Shuttles

Are their airport shuttles leaving fro the Guangzhou Baiyun International Airport to the hotels? If not can you please advise how I get from the airport to the Majestic Hotel, 625 Tianhe Road Tianhe District, Eastern Tower, Guangzhou, Guangdong? Is it far by taxi - approximately how much will it cost? It is my first time to Guangzhou so I want to make sure I do it right and get everywhere easy :) Thanks so much!!