I need to go to Quanzhou from Gaoqi Int'l airport ... is there a direct bus or train going there ?

Upon landing, you are advised to take shuttle bus and get to the North Railway Station first. The operating hours of this bus line are from 08:30 to 20:30 at intervals of 20 mins. The duration is around 35 mins. The ticket fare is CNY 15 per person. After arriving, there are several bullet trains that can take you to Quanzhou Railway Station.