The visit follows the fuel. Oil boilers usually get combustion testing plus attention to the nozzle, filter, and electrodes. Propane and gas boilers get checks of ignition, flame sensing, gas pressure, and venting. On hot water baseboard systems, the circulators, zone valves, and expansion tank are tested too.
If the boiler is replaced, gas work is permitted and inspected through Inspectional Services. An oil boiler needs an electrical permit from that office and an oil burner permit from Fire Prevention, which asks for inspections to be booked well in advance. When a failed oil boiler is swapped in an emergency, the fire department asks for the filing on the next business day.
Tell the contractor how the boiler and any fuel tank are reached. A finished basement, a narrow bulkhead, or an outdoor tank set well away from the house can each change how long removal and installation take.