I ran two window AC units last summer
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Window units are now cheaper than you think. After my central air quit last summer, rather than spending $4,000 on a new heat pump, I spent $315 on three small window unit AC's. Yes, they were only $105 each at Wal-Mart. I only ran the one I needed depending on where I was in the house, and my power bill was much less than when I had central AC. If you spend just a little more money ($40 or so) on a window unit, you can now get one with a real thermostat and a remote control.
I've never liked natural gas, because the air just isn't warm like with oil heat. You'll get more dust and odor with oil heat, but I love the temperature. I had one for about 30 years until my furnace finally quit. You might want to ask around where you live to find someone with oil heat. Depending on the supplier's prices, oil can be cheaper than natural gas. It isn't where I live, but then again, I didn't spend that much time looking for the lowest price. Also, buy the oil in September. Don't wait for the price hikes after the first cold night.z