How can I change my Apple ID billing address and details?

Log in to https://appleid.apple.com with your Apple ID credentials.

Scroll Down to the Payment and Shipping Section

Tap on Edit

You will be given both Billing and Shipping Addresses to edit.

Watch the GIF below, change Billing Address through an iPhone

Note: I have Copy Billing Address to Shipping Address checked in the https://appleid.apple.com