[make] an appointment

to set a specific time for a meeting, event, or service

I need to make an appointment with my dentist for a check-up.
Let's make an appointment to meet with the client next Tuesday.
She made an appointment with her hairdresser for a haircut and color.
It's important to make an appointment with the doctor for your annual physical.
Don't forget to make an appointment for your pet's vaccination at the veterinary clinic.