A permit is no longer needed if you are using ONLY a camera and tripod, along with any handheld equipment - AND if filming activity does not involve the assertion of exclusive use of City property AND does not request parking privileges for its vehicles. For further explanation, click here. For all other filming, procedures stay the same.
The Motion Picture / TV permit (also called a "Required Permit") is needed when you shoot in any public space, including sidewalks, parks, beaches, public buildings or in any New York City facility in the five boroughs. A scouting permit is required when scouting Housing Preservation & Development (HPD) or other City-run properties.