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With what you've told us, you're catching reflections off the buildings across the street - a common trick in urban areas. The problem you're having is threefold: 1) reflected signals are not always the "cleanest" in the world, 2) despite what the packaging says, the RadioShack antenna does not perform well in the VHF band, and 3) any amplifier included with an antenna at your location will likely be overloaded with the avalanche of massively strong TV and FM signals.
I suggest you try one of two antennas on your balcony. If it doesn't work, you will have to find a way to aim northwest using the same antenna. The first is the RCA ANT-751, a compact log-yagi that covers the channels you need. The second is the Antennas Direct C2v, which is a planar array with a dipole for VHF. The AD will likely win with style points if you need to worry about such things.
Do not buy an amplified antenna.
Good luck!
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