The easy way to have good reception is run a coax from the rabbit ears antenna in the window in the south bed room all the way to the Tv. Put the rods of the antenna at a low V <- lower then this if you can , with the rods extended out as far as possible. Do not have the rods straight up. So the question , is , are you going to watch Many channels of digital Tv or not ?? Here is a example of how to get coax across doorways ,
http://www.amazon.com/Wiremold-CDl15.../dp/B0006VAWFG.