The shell bone script for Household is
which is left half of character Door
In comparison, the Door is double door or twin door
The popular doors we see right now
The big seal script for the character Household is
Even though the Single Door is still one of the character's meaning, but its major meaning has been Household long time ago, possible more than two thousands years. It is unknown why people used single door to represent household instead of Door (double door). I guess that most people could only build a single door house by the financial situation, or most people were not allowed to build a double door house without being a high level official of government.
So when people talk ordinary people (> 99%), they mean those who live in houses with single door, not double door (very few).
The small seal script for the character is
which is very similar to older scripts, but there is tiny difference: the right vertical line is not touching the the top horizontal line. I don't know if it was written this way by mistake or intentionally.
The clerical script for the character is
The Pinyin for character 户 is Hu4.