Apartment moves fail at the building, not on the highway: certificates of insurance, elevator windows, dock rules and stairs. All manageable — in advance.
The short version: call your building management the day you book and ask three questions — do you require a COI and in whose name, how do I reserve the elevator or dock, and what hours are moves allowed? Give the answers to your carrier at survey time so stairs, carries and shuttle needs are priced into the estimate. Access surprises are the most common source of moving-day disputes in dense buildings — and the most avoidable.