1. Failure to pay rent when due and the default continued for more than 3 days. (I refused to take their money when they tried to pay their rent).
2. Failure to keep premises clean and sanitary
3. Permitting unauthorized guests to reside in dwelling.
I also gave them a seperate 10-day notice that I was not responsible for any personal property left in premises, and that anything left was mine to dispose of or store as I saw fit. Of couse, they would have to pay a storage fee to recover anything they wanted.
Luckily, for me, they left and I'm only out $470 for September's rent....which I might go after via small claims court. Otherwise, I would have filed for an eviction which would have been granted and them the sheriff would have forcably evicted them. That would have taken about a month and cost me about $300 in fees.
Here's a link to some NM tenant landlord info... http://www.nmbar.org/public/publicresources/lawtopics/landlord.htm
Good luck!