Showing SSL on Stripe & Embedding with Iframe

I am not sure what happens yet but when someone pays using Stripe is the interaction the same as it would be for the test mode? In other words, user adds CC details and then waits for confirmation in the APP? I am asking this because I wanted to think about how to show the credit cards that can be used. Is there a banner block of credit cards to insert into the payment section of the payments module?

I also wanted to ask whether anyone had found problems in simply embedding the whole app in an iframe and running in a website. Both the APP and the Website have SSL so I am more asking about whether people have had problems with this type of implementation or not, as I think it will be much easier to do it this way and also means I can retain the signing with a cookie.

Thanks for your help.