Hello, My grandmother (who assumed the role of my mother from day 1) passed away in January.?

She left me the house which is a three family house where the top floor is rented by NYCHA section 8 tenants. These tenants had been a problem long before she passed, she was elderly and they definately took advantage of that. Theyve flushed shirts and documents down the toilet causing plumbing issues, stole her NYS tax refund check, ripped it up and threw it out the window only for me to find it in the backyard one day. they have bought in furniture from outside, in turn causing an infestation of bed bugs. ANYWAYS everything is going through probate right now and could take months, I would like to exterminate and renovate/ gut the top two floors so that i may assume what was left for me. This tenant also owes her portion of the rent for 10 months, before my grand mother passed we informed this tenant that she needed to move, she hasnt had her lease renewed for 4 years, she kept saying that she was waiting for a voucher, recieved it, started looking for an apartment but never moved. what recourse do i have? i wan her out, she is disrespectful and believes that she can do what she wants because its "her" apartment. she leaves the front door open and the lights on, throws condoms out the back window. i dont know where to start, please help.