you really asked two questions.
Most american homes use an average of 1 to 1.2 kW of power.
But the average per person is much higher, as you have to count all if the factories, street lights, etc.
total US annual electric power production is about 4000 billion kWh. this translates as follows:
4e12 kWhr / 8766 hr/yr = 4.6 e8 kW
US population is 306M, so that is 1.49 kW per person. Given that the average household is 3 or 4, that is 4-6 kW per household.
PS, you ask in one question for KH, which I interpret as kW-hrs, and for kilwatts, which I interpret as kW.
kW is a rate, and that is what I supplied. watts are a rate of using energy, so 1 kW or 1000 watts means that household uses power at the average rate of 1000 watts.
That can be translated into kW-hrs, which is a unit of energy. But you need to pick a time period. 1 kW-hr for an hour is 1 kW.
1 kW for a month is 1*24*30 = 720 kW-hrs per month.
edit, re the quote "The average household in America consumes 10,656 kilowatt-hours (kWh) per year, according to the Department of Energy.", this translates to:
10,656 / 8766 hr/yr = 1.2 kW average rate, the same number as listed above.