Moving into a high-rise apartment

A tower move is a building move as much as a truck move. In the Pearl District, South Waterfront, and the other managed towers across the metro, the building decides the schedule, and the mover works inside it.
The elevator reservation
Freight or padded elevator time gets booked through the building's management, usually days or weeks out, and the window is firm. Miss it and the day gets rescheduled or the move carries the stairs it didn't plan for. Book the slot as soon as your date is known, and tell the mover the window, not just the day.
The certificate of insurance
Managed buildings routinely ask the mover for a COI naming the property before anyone touches a service elevator. It's standard paperwork for companies that work these buildings, but it isn't instant: mention your building's rules when the mover calls, early enough for the certificate to get issued.
Loading dock, not lobby
Towers route moves through the dock or a service entrance with its own rules: height limits, vehicle size, tight load-out areas, sometimes a dock marshal on a schedule. The curb out front is usually not an option, so the truck plan runs through the dock reservation too.
What you handle
You get the building's moving rules from management and hand them to the mover: elevator window, COI requirements, dock hours, any day-of-week restrictions, deposit or fee the building charges. The mover handles the equipment side once they know the frame. Put the access details in the request so the first callback starts from the rules, not a guess.