yes landlord must give you notice to move
when the lease runs out it becomes month to month until one party gives proper notice
typically at least 30 days
even if he does give you notice he cannot kick you out unless he goes thru the eviction process. as long as you are paying the rent any judge will give you plenty more time to find a place comparable to what you have.
So the landlord will waste time and money to try and get you out and not benefit from it.
Our lease agreement states that after the lease term has expired, the rental will become a month-to-month lease unless otherwise stated. Here in California, the landlord must give a 60-day notice to vacate and the lessee must give a 30-day notice. I advise you to speak with your attorney regarding the laws in your state.