The two antenna system that I suggested gives you the best chance for your "must have" channels. A single antenna system would be a compromise that might not be as reliable, but you are certainly welcome to experiment if you so desire.
The Antennas Direct C2V with a Channel Master 7778 preamp might work. The C2V UHF double loop should be aimed at 144 degrees magnetic, and the "V" dipole should be aimed broadside (perpendicular) at 230 degrees magnetic for CBS and ABC on 8 and 10.
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The coax shield should be grounded with a grounding block that is connected to the house electrical system ground with 10 gauge copper wire for electrical safety and to reject interference. For further compliance with the electrical code (NEC), the mast should also be grounded in a similar manner to drain any buildup of static charge, but the system will not survive a direct strike.