You don't need to tell your CC to pay some entity on a set schedule. I don't think my initial post was clear enough.
Credit cards are paid in arrears, usually with a 15 day grace period, so you are effectively getting a 15-30 day interest free loan on all purchases. When you set up a credit card, you can select any payment date you want. So, if I get a new AMEX, I can choose to have the bill due on the 1st, or 12th, or any day I want.
If I pay all my bills (i.e. Netflix, car insurance, etc.) with my AMEX, I know the AMEX bill is due every 12th (or whatever day of the month I choose). For any bill paid by the credit card (i.e. Netflix, car insurance, etc.), it doesn't matter what day of the month that particular bill gets charged to the AMEX. I only pay AMEX once a month, on the day I selected. So, by choosing what day my AMEX gets paid, I am effectively choosing which date I am required to pay all of the bills that got charged to my AMEX.
There are very few things that you can't pay by credit card. For those (i.e. mortgage, some utilities), you can schedule auto-payments on any day you want, through your bank.
