How can I change the payment method on my Apple ID?

If you are talking about the method of payment when you are buying something on your phone like an app, then go to:

1. Settings --> Tap your name --> Payment and Shipping (it will ask for your face id) --> You will then see the payment methods already added, and you can edit them or click "add payment method"

Hope this helps

Method of payment for your Apple ID Account?

If you are talking about method of payment when you double click and what card shows up, you can manage them by following this tutorial:

1. Settings App --> Wallet & Apple Pay --> Default Card

Change payment method

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