If you have an oral agreement with your tenant, under the laws of all states in this country, you are on a month-to-month lease with him or her. If you want the person out, you need to give thirty (30) days written notice regarding such.If you want them out sooner, then possibly you can negotiate a quicker move out in writing for a rebate of the rent and the immediate return of the security deposit placed.If you need the money and are willing to put up with the tenant for another thirty (30) days or so, then cash the checks. If not, then negotiate with the tenant to get him or her sooner. Make sure that any agreement regarding such is in writing dated and signed by both of you.