Set my booking page for private?

I like to do a consultation by phone prior to seeing clients. It helps me weed out or refer out people I may not be able to help and don’t wish to refund. That said, I would love to be able to send them my booking page so they can choose from my services while also knowing that this page won’t show up on search engines. I don’t want anyone to come across this page accidentally and schedule prior to me having a chance to talk with them. But once I have qualified them, I’d like to be able to send them my entire set of services in one place.