It is the furnace blower fan that is the essential thing to power. (assuming a natural gas/propane furnace) With that you can heat your house. If you can heat y

It is the furnace blower fan that is the essential thing to power. (assuming a natural gas/propane furnace) With that you can heat your house. If you can heat your house you can have running water. Without heat you will need to shut off the water and drain the pipes so they do not burst. At that point you have no heat and no water and you probably need to just leave.