Edit
Booking Page → Services, choose the service, change it and save. Changes apply to new bookings immediately. Appointments that are already booked keep the price and duration they were booked with.
Take it off your page
Hide from booking page stops new bookings and keeps the service on your list. Existing appointments are unaffected. Show on booking page puts it back.
Archive
Archive removes the service from the active list and keeps its history. Restore brings an archived service back.
Delete permanently
Delete permanently is available when nothing still depends on the service. If bookings or other records still use it, OperMae keeps the service.
Editing from your page
Clicking a service in the booking page editor opens the same service record. There is one source of truth, whichever screen you start from.