A "house" is essentially a container -- for a person, a family, several families or even a large group with shared interests (think of the term "houses of worship.") In the Bible, a "house" is also a container, but for spiritual things rather than natural things. In various uses a "house" can represent part of the mind, the whole mind, a whole person or even a church. The other nuance to the word "house" is that it is generally used in regards to our affections and desires rather than our thoughts and principles. This makes sense; we tend to engage our thoughts and rationality when we are out in the world doing our work, but when we are inside our houses we are driven most by love for our families and the desire to be good to those we love. So "house" tends to represent the things we want and care about -- which are ultimately the things that define us.

5311. 'You shall be over my house' means that the natural mind shall be made subordinate and submissive to it. This is clear from the meaning of 'house' as the mind, dealt with in 3538, 4973, 5023, in this case the natural mind since the expression 'my house' is used by Pharaoh, who represents the natural. The need for it to be made subordinate and submissive [to the celestial of the spiritual] is meant by 'shall be over' it. The person who is set over someone's house is in practice the master there, and all who are in it are made subordinate and submissive to him, though the actual master, so far as appearances go, retains that name and status.