Put the HDTVi at the window.
Also here is a Broadcast Tv Antenna that is made to -> look like <- a small satellite dish on purpose.
http://www.antennacraft.net/pdfs/HDX1000.pdf ,
http://www.antennacraft.net.
Most apartment buildings allow small dishes on the outside.
Aim the HDX1000 toward the southwest.
Here is how to aim outdoor type antennas ,
http://www.kyes.com/antenna/pointing/pointing.html.
There are also some Tv stations to the north west but not as many. And as such aim a antenna to the north west.