State tax filing

Hi, if I rent an apartment and live in NJ, and my office is in NY (but I am working from home), would it change the tax filing status?

 

Another question is: If I live in NJ but work in NY, when using Turbotax, do I need to purchase and download two states' package in order to file my tax? or I can just purchase and work with on state download?

 

Thank you!