Ah yes. Been there and done that. 3 interviews, 4 days, east coast, west coast, east coast. Don't sleep in your suit. Most airports have a "family" bathroom often located between the men's and women's rooms. These usually have room to lay down your suitcase and change after the flight. Take a limo rather than a cab. Often only costs an extra 10-20 but much more roomy. Carry on your bag! I got stuck in one interview with my suit in chicago and me in wisconsin.
and above all, have fun!