I need to ask tenants to leave a residential home in Arizona.  They
are on a month to month lease, and I want to give them 30 days notice.
 My first question is do I only have to give them 30 days notice? 
Secondly, I am asking them to leave on character issues.  They have
lied and manipulated me (twice) one time resulting in me losing $50. 
Can I explain this to them when asking them to leave?  Or do I just
have to keep my mouth shut and say we want to sell it?

Summarized:
What's the time that a landlord must give a tenant on a month-to-month
lease in Arizona?
On what grounds can I break a month-to-month lease, is 'lack of
character' an acceptable one?

**Please give links so I know the sources!!**