A Sirius technical challenge

OK, help me set up my satellite radio palace: How do I get the satellite radio signal in and move it all around the house? Are there any solutions — like broadcasting iTunes via wi-fi or other means of listening to internet radio anywhere — that will get Sirius into every room?

The setup I’m working with now just won’t cut it: I pull the satellite receiver out of the car and stick it in the home dock and it transmits to my office and the room next door, but only if I take the antenna and dangle it just so over a hat tree. When I want to listen in the shower, I have to drag along the dock and the antenna and find just the right angle there to transmit to the shower radio.

What I’d like is to set up the antenna in one spot with the dock and use other technology — computer with wi-fi, other newfangled gadget — to transmit that to any radio in the house. Any suggestions?