Arcana Coelestia # 3052
3052. 'To the city of Nahor' means kindred matters of doctrine. This is clear from the meaning of 'a city' as doctrine, dealt with in 402, 2449, and from the representation of 'Nahor' as that which is kindred; for Nahor was Abram's brother, from whom Bethuel descended, and from him Rebekah. Facts and matters of doctrine are distinct and separate from each other in that matters of doctrine are formed out of facts. Matters of doctrine look to a use and are acquired through reflecting on facts. They are called kindred here because of their derivation from things that are Divine.
House
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.