Not sure what to do about the ceiling, particularly because that's where you really need to prevent "sound transfer" between floors, according to your original post.
I've done a little soundproofing to isolate my air compressor for my tone arm from the listening room- it one case, it meant soundproofing a large walk in closet, which was just time consuming, and I wasn't worried about the "above" because it was an outside roof; the other was the construction of a silencer box for the same compressor--I moved--in a customer enclosure I had built. I used a variety of materials for sound proofing, including the aforementioned mass loaded vinyl. It does need at least a mild absorber layer over it, since it is reflective.