On a gas furnace, the technician typically tests ignition, flame sensing, gas pressure, and venting, then checks for carbon monoxide around the appliance. On an oil unit, expect attention to the nozzle, filter, electrodes, and combustion readings. In either case, ask for the findings in writing before you approve repairs.
If the furnace is replaced, the contractor arranges the permits. Gas work gets inspected by the city's Building Department, and an oil burner installation goes through the Fire Department's FP-056 process. Ask who will meet the inspector and when the inspection is expected.
Access can shape the job in older Brockton houses. Narrow bulkheads, steep basement stairs, and furnaces boxed in by later renovations can affect how the old unit comes out and the new one goes in, so mention them when you describe the problem.