Cleaning up an infested apartment bldg in Zanesville, Ohio

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Within the last month I purchased an older 12 unit apartment building. Many of the tenants have been there for over 20 years. The previous landlord was 87 years old and completely let it go. It is infested with roaches and bed bugs. So my question is, what basis can I use to evict the couple serious offenders or hoarders I would call them so I can start turning this place around? I have 2 particular tenants who are the obvious main causes of the bug problems but they faithfully pay there rent monthly. What is the correct procedure to get them to clean up or get out as quickly as possible? I am very familiar with the eviction process of non payment of rent. Keep in mind these people have lived in this squalor for decades at this point and I firmly believe they wont clean up to the standards I need them to be.