How to use Customizer API to change content only on current page?

Hey,

I am trying to build a theme and I would like the user to be able to change everything from the built in Customizer. I have added a customizer control for each of the text areas in the theme. So let’s say a user is on the home page and changes some heading text this will be correctly changed on the page. However if the user now opens up another page that heading text will also be changed!

What I would like is for the user to be able to change texts etc. on each page using the same Customizer controls and those changes should only take place on the current page!

Is there any way to accomplish this or are customizer changes always affecting the whole website with all pages?

Thank you in advance!