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.

710. 'Enter, you and all your house, into the ark' means things that constitute the will. This is clear from what has just been stated. In the previous chapter, which dealt with things of the understanding, verse 18 reads differently, namely 'You shall enter into the ark, you, and your sons, and your wife, and your sons' wives with you'. That 'a house' means the will and what constitutes the will is clear from various places in the Word, as in Jeremiah,

Their houses will be turned over to others, their fields and wives together. Jeremiah 6:11.

Here both 'houses' and 'fields and wives' refers to things of the will. In the same prophet,

Build houses and dwell in them; and plant gardens and eat their fruit. Jeremiah 29:5, 28.

Here 'building and dwelling in houses' has to do with the will, 'planting gardens' with the understanding. The same applies in other places. And frequently 'the house of Jehovah' stands for the Church where love is the chief thing. 'The house of Judah' stands for the celestial Church, 'the house of Israel' for the spiritual Church, because 'a house' means the Church. Consequently the mind of the member of the Church, which has within it things of the will and those of the understanding, that is, of charity and of faith, is meant by 'a house'.