Rent increase and pet fees

[Daniel Meyer]

Hi good people. I have a tenant that I inherited when I purchased my current building. She has been in her unit since 2011. There is no lease that was shared with me when I purchased the building. The tenant was grandfathered in. 

I want to increase her rent and charge her for 2 pets that she has acquired during this past year without informing me. Since I do not have a lease I am unsure of how to proceed. How many days does she legally have before I increase the rent? Given that I may have to provide her at least 120 days before a rent increase, can I charge her the pet free before the 120 days? 

Thank you for your time! 

Daniel