Just to pile on for a moment...
If you're talking stove-for-cooking, that is a whole different matter than trying to provide environmental heat. I'm comfortable with our circumstances, but no way would I suggest my solutions for your unknown-to-me circumstances wrt environmental heat.
Heating food/water - use a liquid or gaseous fueled stove, keep a fire extinguisher handy, and don't worry about it. Perhaps you already cook with natural gas or propane, hmmm? Use that stove as-is. Your house already transpires enough for that. If you have a small apartment with tight construction and an electric stove, then perhaps you should exercise some extra care, but a brief stint with a fueled stove to heat water or a meal should be OK. A CO monitor would be a good idea, but there is battery life to consider and I find the CO monitors to be plauged by false-positive alarms (very annoying).
I really don't think it's a good idea to burn any fuel indoors for environmental heat unless the combustion products are vented outside. Besides the potential CO2 and CO problems, you are asking for some damage to the house from condesation and freezing of the combustion water.
Let's see if there is another, safer way - how is your hot water produced? If you have a gas-burning natural vented 40-50 gallon hot water heater, there is another, safe way to put aux heat in part of your house during an electrical power outage.
So - is your hot water heater a gas-burner and not power vented? If so, I can explain how to safely take advantage of that for heat.
Tom