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Originally Posted by
eiger 
1) Vents. These are super old vents that were there when we purchased the house. 3 of them in the room. What can be done here? Obviously the room needs to have heat.

This is beyond my area of knowledge, but I think if you do some searches for "vents" in the construction threads, you may see what people have done. I believe this is the most invasive of these three ideas, but may make a big difference. It would mean tearing into the walls/ceiling at those locations, etc.
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2) Door. While the house is old, new doors were put on by previous owner. Home Depot specials, as you can see from picture. One door goes to laundry room, and the other adjacet door goes to stairwell. Lightweight, hollow cheap wood with pretty wide gaps. What are better options for doors?
This is relatively easy and effective: Use solid core, exterior grade doors with weather stripping. If you are really lucky, the spaces would accommodate a pre-hung home depot exterior door -- making it less arduous to install.
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3) I notice that some people put padded fabric material along their walls. (filled with fiberglass?). Would this help in my situation at all?
Not so helpful for preventing sound from escaping, but used in the right places (first reflection points) and of the right thickness (2 to 4 inches) it can greatly improve how the room sounds when you are in it (but don't overdo it). Bass traps, again, which are just bigger batches of insulation, typically in the "corners", will also improve the sound in the room, but not really help with your sound leakage.
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Anyway, these items above won't solve the problem, especially in the bass range, which really is a structural thing, but may improve the situation for you.