I figure my DVDs and CDs don’t take much room. I have a few Case-Logic binders that hold about 400 discs each. They’re about the size of a medium-sized 3-ring binder.

Looks much better.

Does your modem’s admin webpage report the signal levels that it sees?

It would be useful to compare the signal levels at the original location with the signal levels at the (slow) new location. It’s possible that there are multiple splitters (or possibly even a damaged cable) between the original location and the new location which would substantially lower your signal levels.