you are all thinking about this too hard. in a middle class working man way
your thinking about working.
you are thinking about killing rats , managing the issue , controlling disease and infestations
as a Czar you don't actually deal with the issue , your write stuff about it , attend meetings , wear your suit and make sure people are not using unapproved poisons in the high rises.
we have a Drug Czar , and a ever growing drug issue
an aids , czar , a budget czar an Afghanistan czar , an auto czar and the list goes on and on and on
your buddy Barak Obama appointed the most czars of any president 50 , 39 of them were confirmed by the senate
Don't forget, this is NYC. Technicians would be prohibited from using inhumane traps of any kind or any poisons. Baits would necessarily have to render the animals unconscious... And prior to their use there would need to be an environmental impact study to make sure non-targets or at-risk species wouldn't be impacted. And another study to make sure that the place we are relocating the rats to (you didn't think we would kill them, did you?) is suitable and would not be adversely impacted.
Technicians would also be required to use public transit or EV's... No fossil fuel vehicles. Good God man, there's the climate to consider. An existential crisis if there ever was one. THINK OF THE CHILDREN!!!
As the "czar" it would be your responsibility to ensure all of these rules were enacted and followed... And then you would have to negotiate with the IBRC technicians union to ensure your technicians weren't being exploited or in any danger... Other than living and working in the sewer that is NYC.
Mike