To update the credit card information on file for subscription or MSU entitlement renewal, go to the My Payment Cards page on the My Intuiface website. Select the appropriate credit card in the drop-down list on the left - i.e. select the card used for the purchase in question - then click the "Update this card" button on the right. Finally, follow the directions.
With this update, all renewals associated with the old card will now be assigned to the new card. Of course, if other credit cards were used by the same Intuiface account to make purchases, the resulting renewals will remain associated with their original cards.