NJ Resident, NY Employee - Which do I fill out? IT-2104.1 Non-Resident Exempt vs IT-2104 Withholding

Hi,

 

I live in New Jersey but work in New York. I am clear on the fact I will have to file for both states. My employer wants me to fill out either an IT-2104 Withholding or an IT-2104.1 Non-Resident Exempt.

 

I have tried to look up both forms but am confused. I am a non-resident, so I believe I should be filing IT-2104.1 Non-Resident Exempt, but does this mean I will have to pay a large amount of taxes to NY next year? Should I be filling out the IT-2104 Withholding form so that they are pulling out money from my pay now, to avoid a large pay to NY? Could someone just explain what is the best method as I don't want any issues with filing. Any help or clarity is beyond appreciated. 

 

Thank you!