I'd be sending DH ahead to get the car while you wait at baggage claim. Have DH take some luggage and maybe 1 of the car seats to install. Yes, it'll be a pain to keep kids occupied in the terminal, but it'll be safer. Have DH call you when he's driving back in, you can then get kids out to sidewalk (don't have to cross the traffic) and when he pulls up, put rest of seats in.
We ALWAYS do this, but especially when the kids were younger. Having DH have the carseats already installed was key. We would all go to the bathroom, maybe have a snack, and by the time we did that DH would be almost back with the car!
Beth, mom to older DD (8/01) and younger DD (10/06) and always missing Leah (4/22 - 5/1/05)