OK. I've been convinced that I need to get an outdoor antenna. I just having trouble figuring out how to best place one keeping the cost to a minimum. So, again, I'm asking for help.

Below is a overhead photo of my home, courtesy of Google Maps. I've rotated the image so North is up. The black line at the top is the power line. The blue dot is the air conditioner and the red dot is the location of the window to the room my computer and radio are located. The green trees in the lower right are the neighbor's. The front of the house faces South. The white "V" shape is tree limbs I erased as they are no longer there. The structure in the upper right is an un-insulated storage shed. There are two Mesquite trees in the backyard. One located in the upper left corner and the other by the shed at the top point of the "V". the back yard is surrounded by a 8' wooden privacy fence. Sorry, but I don't have dimensions.
Any suggestions would be greatly appreciated.