You can get mini split heat pumps which do both. A friend's house has no ducts and was heating with wood and electric baseboards, so he installed one himself in his living room and it works pretty good, cools the whole house and heats the main floor in winter.82? I'd probably be sweating just sitting and doing nothing at 82... probably depends on the humidity?
I am 99% sure that my wife is 100% against this:
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I wouldn't care, not in our bedroom, nor in an office space. But I will agree, one is stuck seeing it the 8 months of the year that it's not doing anything (unless if you can heat with it, and your electric less than oil).
It's much quieter than our window AC unit.