W34DX-D is listed on your TV Fool Report. It is the call sign of one of the six translator stations WHNS is licensed to operate. Low power translators are generally used to provide service in areas that the main transmitter signal can't cover, usually due to obstructing terrain.
The signals from WASV-LP, W34DX-D and WLOS should be fairly easy to receive with a modest sized outdoor antenna such as the Winegard HD7694P or Antennacraft HBU-33, pointed at about 195° per a real compass. (W41BQ would also be included if the station is on the air.
www.rabbitears.info indicates that it's not on the air at this time.)
A premium system could be built using the antenna mentioned above, connected to the built in tuner of your TV(s)... And a secondary antenna, cabled separately to an axillary tuner. I'd consider either a Winegard HD7698P or combine a UHF and H-VHF such as the Antennas Direct DB8E and Antennacraft Y10713. In either case, I'd add a rotator so that one could point the antenna at the weaker, more distant stations. A good preamp would be needed to go after the weaker signals, The RCA TVPRAMP1R comes to mind, though I am hearing that Antennas Direct is going to have a new preamp hitting the market soon.
http://forum.tvfool.com/showthread.php?t=2882