You can update credit card information during the checkout process on your next purchase.
To do this, proceed as normal to check out. Then, in Step 3 of the check out process, "Payment", you can put in your new card information.
Please note that even if all the information except the expiration date is the same, you will need to put in all the information again.
After you have finished, simply check the box to "Save card for future use." This will store the updated card information for future orders.