Been through this at my dad’s place last winter. Quick tells: if you can feel it in a railing or joist, that’s structure-borne; if it gets much quieter when you seal the utility-room door with temporary weatherstrip/towel, that’s airborne. Cheap wins that helped us: neoprene anti-vibration pads under the pump/boiler feet, flexible connectors on the copper lines, swap rigid pipe clamps for cushioned hangers, and a short section of rubber hose to break vibration. Then we added a solid core door sweep + stick-on perimeter gasket for the room. I ran the plan by
New York Soundproofing—they explained the structure-borne vs airborne thing in plain language and suggested keeping combustion air clear while sealing leaks. The combo cut the hum to a dull murmur without a big spend.