To remove a credit card from the app, go to Payment Method. Swipe the credit card you would like to remove to the left. (Press and hold it, then swipe left). A red "archive" button will appear. Click on it. The card will be deleted. If you ever want to use that card again, you will have to re-enter it and start fresh.
You do not have the ability to delete a bank account from the app. We can request that your banking information be removed from Deluxe, our bank partner, and the payment icon will be a yellow triangle in the app, indicating it is not active. Remember that your bank info is not stored in the app. You are only seeing an image that indicates the status. You will have the ability to delete an account without asking for assistance by the end of 2016.