There are 309 federally-registered household goods movers with an address in the New York area, according to the U.S. DOT's public carrier database.
Moving in New York requires a level of tactical planning that differs from almost anywhere else. Most buildings mandate a certificate of insurance from your moving company before they allow entry. Always coordinate with your property manager well in advance to reserve the service elevator, as many high rises restrict move times to weekdays during business hours. If you are relocating to a walkup, expect to pay a premium for the labor involved in navigating narrow stairwells. Factor in the reality of double parking as well, because professional crews often include the cost of likely municipal parking tickets in their final quotes.
The city experiences intense seasonal spikes that significantly influence availability and logistics. Most leases expire on the first of the month, which creates a chaotic crush during the final days of each period. You should aim to schedule your move during the middle of the week or the middle of the month to avoid peak demand.