Moving to New York City has very little to do with whether or not you should itemize deductions. If you think that your itemized deductions might add up to more than your standard deduction, enter them in TurboTax and it will figure out whether it's better to itemize or take the standard deduction.
The most common itemized deductions are medical expenses (reduced by 10% of your AGI), state income tax, real estate tax, home mortgage interest, and donations to charity. (You can deduct sales tax instead of state income tax, but living in New York the state income tax is likely to be more than the sales tax.)
