You don't have to share all your services at once. If you only want your client(s) to book a certain service, you can share just that one.
Step-by-step guide:
Go to Services.
Click on the three dots (⋮) in the upper right corner of the service you’d like to share.
Click on “Copy link”
Share the link with your clients.
Alternatively, if you open your booking page from the admin interface, click the Share button at the top of your booking page.