SimplyBook.me API integration

Is there anyone in here that could help with API integration of Simplybook.me and webflow cms?
There is a simplybook.me embedded booking iframe page, but looks average, and not too much customization to it.
I would like to integrate through the webflow cms and when pressing book button of that specific sevice to send get/post commands from the simplybook.me API. plus would like to create the booking flow / cart a bit different than the embedded iframe

Any skilled webflow coders around here that could jump in ? Or are there any 3rd party apps that can integrate any API with webflow without coding? (something similar to Zapier?)
Thanks