Syncing multiple calendars

Hi all, I manage calendars for multiple people. We also provide the option for clients to book their own meetings via the Bookings app. We are now launching a new website, which the same people are in charge of. We would also like to provide the option for clients to book their own meetings for this calendar as well. Although there are separate email addresses and calendars, we would like the calendars to be linked to avoid double bookings. Is this possible? Thank you