Dealing with Web Checkout URL in a Storefront based website?

Shopify Partner
16 0 7

We have a website which gets the shopify products with the Storefront API.
We then make checkout objects and redirect the user to the webUrl of the checkout.

This url is now different to our websites url. The checkout url is a address.
I think thats the default behaviour.


Is it possible to change the checkout webUrl domain to our domain,
or at least somehow connect both worlds?
Or will it always be an independent instance?

Please let me know how you deal with this;
and if I oversaw something!
Any tipps and hints are welcome.