Updating Payment Information

My credit card was compromised and was cancelled. I had used it for my Apple Pay. I tried to add another card but I am stuck in a do loop. I try to add another card and it says I must verify a payment method, which I can't do. I try to delete the old card and it says I must add a new card before I can delete the old card. Can someone please advise how to fix this? It is trying to charge for my icloud and of course it is getting declined and I have no idea how to fix this problem.