How long do I have to find another place to live?

I'm currently renting an apartment, almost like a duplex with the owners being my neighbors. We recently had a discussion over the parking space that pertains to me. I feel like they are going to ask me to move because of this. How long do I have to find another place to rent, legally I mean. If they were to kick me out, do I have a week, two weeks, a month? There is no contract by the way and i've been renting on a month to month basis. Thanks.