I moved to new york in january 2016 but paid estimated taxes to New jersey based on my turbotax return for 2015. will turbotax create a return for nj requesting a refund?

[TomD8]

NJ can tax all your income up until the day you established your domicile (your permanent home) in NY.  So, if you moved to NY during January, you would file a part-year resident return in NJ and a part-year resident return in NY.  Any excess NJ withholding would be refunded to you.

If you established your NY domicile prior to January 1, you would file a non-resident NJ return showing zero NJ income, and all your NJ withholding will be refunded.  (But if you worked in NJ after your move, your non-resident NJ return would have to show your NJ earnings.)