How can I arrange a vehicle that can carry 4 adults with luggage from airport to GZ North Station?

Actually, you can take the airport shuttle bus line 9 to the North Bus Station directly.
Besides, in the airport, there are taxis available and you can easily find them. A taxi can accommodate 4 passengers and two pieces of luggage. If you have luggage more than that, you may need two. The fare is CNY45-50 for a cab.
If you insist to arrange a vehicle in advance, drop an email to traveltravelchianguide.com. As I know, they offer airport pick up service and more importantly they are reliable.