Payment Options

Sign in to your Apple ID account page and edit / update your Apple ID details -> https://appleid.apple.com                                                     

• On the Sidebar click Payment methods -> then tap Payments Methods and tap Manage payment method.

Or -> Add a payment method to your Apple ID

Add a payment method to your Apple ID – Apple Support (UK)

• If you want to change your card, you need to add first the new card, then remove the old card.

If you update your payment method or add funds to your Apple Account balance, It would take about 1 to 3 business days in order to process.

If you're still unable to update your payment method, Contact Apple Support.

You must not change your current credit card, but add a new one and finally delete the old one.

To add a payment method, go to:

Settings → Apple ID → Media & Purchases → View Account → Manage Payment

Select Add Payment Method. Once your new payment method has been added, you can delete the old one.

You can find more useful information here:

Add a payment method to your Apple ID - Apple Support