New lease for inherited month to month tenant

[Rashad Ellis]

Irvington Nj

I need some clarity on lease procedures for an inherited month to month tenant. Ive read up on New jersey landlor/tenant laws and truth in renting but im not clear if theres differences being the new owner. Tenant was month to month when i bought the property and I've decided i will keep her as she has been paying her rent on time, if not early. After closing she did express that she'd be willing to renew her lease, and I told her that rent would increase. Is renewal procedure and rent increase the same as if I was the original lessor? Is a renewal based on the old lease with revisions? Or can it be completely different? I will be increasing rent by $100-$200 and adding a more detailed rider.