Not renewing section 8 lease when its up

[Galen Chu]

Hi BiggerPockets. I'm currently renting to a section 8 tenant in NYC and I've decided I won't be renewing the lease once it expires next summer. Are there sensible steps I should be taking at this moment? Any paper trails that should be in place or is it as simple as giving notice at the right time next year and not renewing the lease? The tenant is paying their portion of the rent (the majority is coming from city) but the tenant has been difficult to deal with and I'd like to find an new tenant once their lease is up.