Thanks for your answer.
I did buy sticky pad mouse traps like that and place them strategically throughout the apartment.
I did buy with my own money ultrasonic rodent repellers.
I did place additional no kill mouse traps.
I made numerous requests to landlord for an extermination service.
Yet, they still got through. Add in American cockroaches too.
I made a good faith to do everything in my power over the course of months to amicably resolve this. LL dragged his feet.
Considering this is a Warranty Of Habitability Violation in NYC and I'm paying market rate, maybe landlord retaliation won't stand, but other defenses will.

