Read your original Lease Agreement/Contract. Usually, you are required to sign a new lease at the end of the lease date. You can always go month to month. Landlords cannot kick you out of your home. If you pay them, even month to month, you can't be evicted.....also, if you inform the landlord that you want a month to month, you either agree to pay additional fee (monthly rent increase) or you can just go on paying your normal rent. Bottom line, in any state (i'm sure) is if you sign a lease with start date and end date, you are responsilble for that, if your lease date is past and you haven't signed a new lease with a new "end date" then you can pay monthly and leave with notice to the landlord. If the landlord takes payment post lease end date, without a newly signed lease, then the landlord is accepting of you. If the landlord denies your payment because they require a new lease....that would require you to sign a month to month lease or a new lease agreement. make sense?
Either way, they cannot kick you out if you intend to pay them and have informed them that you intend to move.