On page 2 of the NJ return there’s a series of questions about. Lived in more than 1 residence.. shared with someone other than spouse, etc. (if you answer any other than no, it will trigger another schedule to fill out). 

complete the questions. Below them are fields to enter total rent, property taxes….

For renters it works fine. Can get more complicated for property owners with with multi family or multiple owners or part year renters/property owners