Working remotely in NJ for an NY Company

Good evening, 

 

I work remotely full-time in New Jersey for a New York company. I'm trying to decide how much I should withhold from my New York wages in view of these circumstances. 

 

Am I technically "liable" for both NY and NJ taxes, and therefore would have to pay estimated taxes to NJ throughout the year? Or am I liable only for NY taxes, since NJ will allow me to claim a credit for any taxes paid to NY so as to not double tax me? And in either case, how do I determine how much to withhold for each (or only one?) state? Any clarification would be most appreciated.

 

I'm married filing jointly.