One Example of Calend.ly
integration on WIX

The negative about the embed below is that it is a different color than the rest of the website theme.

The other option for integration is available by changing the "Book Your Consultation" button in the site menu which opens the same calend.ly in a new window. 

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Go through the Calend.ly widget below and schedule a fake appointment to see some of the options for customizing the widget.