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Given the cold Winters where you are you're probably better off with a new high efficiency furnace and an AC coil/condensing unit. Conventional air to air heat pumps don't function in very cold weather. You'd be using back up heat when it gets real cold which is often electric and much more expensive to operate. You could use a gas furnace for back up but you need to compare the cost of a heat pump and furnace to AC & furnace.
$10k for a heat pump sounds pretty steep anyway. Get several bids whichever way to go
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A heat pump is much more economical to use than an electric furnace.