The Main International Terminal is where you'll probably be if you're flying with United Airlines CCS Terminal. The majority of flights headed toward the United States, including United's, operate from that location. Check-in was really simple and the terminal was easy to traverse when I traveled with United. I had a minor problem with my seat assignment, but the counter staff was helpful and accommodating. The terminal was efficient, clean, and had good amenities, despite not being very modern. It's a nice place to start your adventure, so if you come early, have a coffee and take in the quiet before your flight.
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