Eviction - Lease Termination

[Steve Spencer]

I have a tenant under a 1 year lease with month to month option at end of terms.  Lease expired 10/10/2015.  I have made several attempts to contact tenant to resign a new lease or discuss situation.  For past 3 weeks they been avoiding calls, texts and never home when I knock on door.  I made my monthly inspection after posting notice on the first and noticed they were still occupying residence but things were a mess with broken shower head, broken bedroom window and trim off front door removed, not to mention the illegal cat I found in the laundry room.  And of course no rent paid as of today for November.

My purpose of this post is to find the easiest, quickest way to get the tenants out.  The lease has expired and option for month to month would only be considered if rent was paid and it was not at time of lapse.  I post a notice of lease termination today at the property but still have had no response.  

I am in Kentucky and never had to do an eviction before.  What is my next few steps to vacate these tenants.  HELP!!

Thank you