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With a month to month lease, the landlord can give 30 day notice for you to vacate. Basically, he's saying he just doesn't want to renew the lease which doesn't require a reason. Kicked out is not the proper term. Thirty Day Notice to Vacate would be the term. The agreement is month-to-month by your own words.
If your lease doesn't have a starting and ending date, then the law says your lease runs from month to month. The only way to end a month to month lease is by giving your landlord a letter (telling her isn't good enough) saying you want to end your lease. By law, you must give your landlord 2 months notice (start counting from the 1st day of the upcoming month). If you give less, you will be responsible for the rent anyway. This is also the only way your landlord can end a month to month lease with you. Thirty days notice isn't enough. BUT remember that if you break a rule, or don't pay rent, the 60 day rule doesn't apply and you can be evicted with much less notice.