Also we would have some sort of payment system / shopping cart, that will work with stripe.

Also we would have some sort of payment system / shopping cart, that will work with stripe.

If you want to have payment field inside of your form you have to use one of JotForm payment tools. We have integration with Stripe. 

Inside of this articles you can find out more about payment tools and how to set payment form:

http://www.jotform.com/help/47-Order-Form-Basics 

https://www.jotform.com/help/190-How-to-Integrate-Stripe-with-your-Form 

http://www.jotform.com/help/165-Setting-Up-Your-First-Order-Form 

Hope this will help. Let us know if you need further assistance.