State tax filing

Where do you spend at least 50% of your time?  Where is your driver's license, vehicle registration, voter registration, etc?  Is the NJ home a summer residence?  These may be helpful:

Brief Overview and Filing Requirements (pa.gov)

Part-Year Residents and Nonresidents (state.nj.us)

NJ Division of Taxation - Income Tax - PA/NJ Reciprocal Income Tax Agreement (state.nj.us)

If you work in Philadelphia, there are additional considerations.