Dear Poughkeepsie Home Owner:
You need only give each one of the tenants one month notice to move out from the house or you will start an eviction case against the tenant in your local Landlord and Tenant Court. A notice to quit or notice terminating month to month tenancy made by you to the tenant or tenants this month would act to end the tenancy on March 31, 2018. If you do not want a lawyer who knows how to do this type of lawsuit correctly NY State provides abundant free help on the Internet. You could start here: https://www.nycourts.gov/courthelp/diy/districtCityTVCourts.shtml
I have forty years experience in the specialty of Housing Law and Tenant's Rights advocacy. The answer I provided to you does not create an attorney and client relation. You are free to check my office contact information at my AVVO profile. The answer offered is in the nature of general information, and should not be considered as tailored legal advice. I offer answers as a service to the community with my firm belief that you should try gain a good outcome for your legal issue and to avoid a bad outcome if you can.
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