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A 4-bay antenna should do fine. A medium-range UHF Yagi would also work. Shouldn't need an amplifier as your signals are forecasted to be moderately strong.
Keep in mind that the successful antenna mounting location is not dictated by one's wishes, but rather by where the signals happen to be found. You can improve your odds greatly by locating a spot that offers the clearest possible line of sight back towards Newton and test-mount the antenna there. Be prepared to try different locations. Don't drill any holes until you have found a satisfactory set of signals.
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