To go to the airport to pick up someone, you can say: "I'm going to the airport to pick up [person's name]."

Alternatively, you can say: "I'm heading to the airport to meet [person's name]."

If you want to be more specific about the time, you can add: "I'm going to the airport at [time] to pick up [person's name]."

For example: "I'm going to the airport at 3pm to pick up my sister."

If you need to ask someone else to go to the airport to pick up someone, you can say: "Can you go to the airport to pick up [person's name]?"

For example: "Can you go to the airport to pick up my friend? Their fpght is arriving at 6pm."