One more question, though I'm sure it's a dumb one:

The satellite has a cable run down to the basement, feeds into a splitter that gives me up to 8 connections for receivers, and then one of those connections feeds a long cable run upstairs to the receiver in the room in question. So my question is, where do I put the amplifier? Should I put it where the line to the room starts? Or by the receiver in that room? How do these things do their mojo?

*edit*
I actually tried the third product you linked. It didn't work for me, though...