Some airlines offer a free trip into Chengdu with their minibuses, if you have flown with their airline. Sichuan Airlines is one. If you have paid more than 500 rmb for your ticket, they offer the free minibus service. Worth asking the airline, or ask the air crew. If you are in a hurry, though, just take a taxi.
www.randomstuff.biz has some more details about taxis and buses from Chengdu airport into the city.
If you are meeting up with people in the middle of Chengdu, meeting at the statue of Mao on TianFu GuangChang (TianFu Square) is OK. You can sit on the steps and watch the thousands of cyclists and pedestrians, and, less attractively, watch the building work on the underground system.
TianFu Square, north side - can't really miss the statue - very large. Be careful about the China Mobile clock to your left - it's often wrong.
Send your feedback or queries to email@example.com