Is there a template for a booking page with a calendar

Currently we use Appointy, and we are looking for something similar

We have many templates for booking forms to get you started:

https://www.jotform.com/form-templates/search/booking

And we also have several calendar widgets that will allow for reserving dates:

http://widgets.jotform.com/search/calendar

Though the end form would be different than your current one, I believe the the same functionality can be achieved.