Where does all the data go from the forms?

Where will all the data from the forms for clients and their credit card information as well be sent to us or will we have access to this information?

Basically you can access them by looking at your form submissions. But, it all depends to you if you want to get it shown or not.

Thank you for your quick response, how can we access this data? We have
customers that are in house and will change their card information at
times, so we will need to be able to access it ourselves.
...

Is our Data accessed through our account on Jotform?
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Yes you can check the submissions in your form's respective account.

Example below: