I just installed new furnance and AC

My furnace is in the basement but still noise of the blower and moving air comes thru. Shutting it down for the time of listening session, as Yogiboy suggested, can be done but not when temperature outside is very low or it will get chilly real fast. I have small fireplace but it is for entertainment only. It produces radiated heat but also sucks warm air from the room. I've noticed that furnace works harder (longer) when fireplace is used. I consider replacing it with the one that takes air from outside and has glass door. It moves air from the room around/behind fireplace box. That is perhaps the most efficient type.

Common problem. High eff furnaces with 2 motors (combustion and blower) can make more noise. There are quiet ones but they get expensive. Sometimes it's just a question of setup and getting fan speed/deltaT to 60 degrees or manufacture's spec's. Sometimes I recommended using flexible duct connections on both return and supply to isolate vibration. Been a long time since I did residential.

Any air volume above 150 CFM will be heard. You need multiple 90 degree turns to stop fan noise in both the return and supply as well as internally insulating all duct work.
I find American Standard and Trane systems to work best.

Just to add some levity. Do just as when you are in your car and don't want to hear the squeaks. Turn the other noise up man! Have fun