Usage patterns
迎えを出すto send someone to meet/pick up a visitor
We'll send someone to meet you at the station, so please call when you arrive.
迎えが来るfor the person sent to pick someone up to arrive
After waiting a while, someone from the company came to pick me up.
〈人〉に迎えを頼むto ask someone to come pick one up
Since it was late at night, I asked my father to come pick me up.
迎えを待つto wait for someone to come and get one
I waited in the airport lobby for someone to come pick me up.
