Setting a service as 'private' hides it from your Booking Page. Customers won't see it, but you can still book it through your calendar.
Note: Private services can't be rescheduled by customers through their Customer Login or email confirmation.
Make a Service Private
Go to Services and find the service.
Click the three dots in the top right of the tile.
Flip the switch next to 'Set to hidden' to on.
Save your changes.
The service disappears from your Booking Page but stays available for internal booking.