Update credit card on pre-paid auto recharge

My credit card details have changed but I have not been able to add the new card to the auto recharge facility under MyTelstra.

From previous posts I see the suggested solution, from years back, was to delete the current auto recharge, and on the renewal date do a manual payment, and then set that up as the new auto recharge. If I slip up and fail to make the payment on the due date I put all carryover credits at risk. This seems to be a hell of a rigmarole and just wondering if any one has a better solution?