[make] a reservation

to secure a place, seat, or accommodation in advance

We called the restaurant to make a reservation for a table for two on Saturday night.
He made a reservation for a rental car for their vacation last summer.
She makes a reservation for two at the restaurant for dinner tonight.
They will make a reservation for a guided tour of the museum during their trip to the city.
They made a reservation for a cabin in the mountains for their anniversary trip.