I am on month to month lease now. I want to tell them I want to move on the 15 of October. Am I required to pay a full month rent if I don't be there?

Look close at the lease. If the lease allows it, you can give notice to move on September 15th and then pay only a half month's rent for October.

But some leases require that you pay a full month for your last month there. It all depends on when you gave your 30 day notice to move - and the lease terms.

What does your lease say about the Move out notice requirements?