Airport Transfer / Airport Shuttle Advise

About 5-6 month ago. I'm and girlfriend.
was visit Thailand for holiday. my destination in "Rayong" Province. 
Ban Phe pier because. I need to go cross "Koh Samet" that why I looking for safe website Airport Transfers service from Suvarnabhumi International Airport to Ban Phe pier.
 - I Try to go search details on google www.thaitaxi9.com and I met website as mentioned above.