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.

1864. That 'on that day Jehovah made a covenant with Abram' means the joining together of the Lord's Interior Man and His Internal Man is clear from the meaning of 'a covenant' as a joining together, dealt with already in 665, 666, 1023, 1038. Here, because in the internal sense the Lord is the subject, it means an interior conjunction. For the Lord advanced more and more towards conjunction and union with Jehovah His Father, till at length He became one, that is, the Human Essence itself also became Jehovah, who was the Lord's Internal itself. These things were represented by 'the covenant which Jehovah made with Abram'. Anyone may see that Jehovah never makes a covenant with man, for such would be contrary to the Divine. What is man but something base and filthy, which of itself thinks and does nothing but evil? All the good that he does comes from Jehovah. From this it becomes clear that this covenant, like every other covenant made with Abram's descendants, was nothing else than a representative of the Divine and of the heavenly things of the kingdom of God. This particular covenant made with Abram was a representative of the joining together of the Lord's Human Essence and His Divine Essence, that is, Jehovah. That it was a representative of the joining together of the Lord's Interior Man and His Internal Man, that is, Jehovah, is clear from what has gone before - that the Lord joined and united Himself more and more through the conflicts brought about by temptations and through victories. What the Interior Man was has been stated already, namely that which was between the Internal and the External.