Inherited tenants - non-renewal or short term lease for 3 months

[Amanda Smith]

I have inherited tenants to a new duplex that I need to have leave in 3 months due to smoking, pitbull and low rent. I want to give them 3 months to leave since they have been there many years. Do I just do a non-renewal letter for end of August or do I need a new 3 month lease? I have a couple terms I want to put in there, such as no smoking near other tenants door, cleaning up of dog waste immediately instead of leaving in yard, etc. Not sure of you can do that in a non-renewal. They are on a MTM from former landord owner right now.