Credit card expiring soon--don't want to cancel my Watch pre-order

Hello all,

I recently pre-ordered my Apple Watch and am expecting it to arrive sometime between May 13-May 27. The credit card that I used to make the pre-order has a "Valid Thru" date of 05/15. I have received the new card from my bank and I want to activate it and start using it, but I don't want my Apple Watch pre-order to be cancelled. Is there a number I can call to give Apple the new credit card number so that I don't risk having my pre-order cancelled? Thanks for your help.