If the landlord wants to terminate a month to month tenancy, the tenant is entitled to one month advance notice, according to
441.060. 1. A tenancy at will or by sufferance, or for less than one year, may be terminated by the person entitled to the possession by giving one month's notice, in writing, to the person in possession, requiring the person in possession to vacate the premises.
The process is described here. The landlord cannot sue to evict until after the notice period expires.
A tenant who is current on the rent, such as yourself, can usually negotiate with the landlord for additional time to move out because that will save the landlord attorney fees that would be incurred to evict a tenant with a Court order.
You might want to sue your partner to dissolve the partnership and divide the assets.
You can get a free consultation from some of the landlord tenant attorneys listed by location here.
Please follow up on this with a local attorney.
I hope this information is helpful.