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.

37. And every eye shall see Him, signifies that all will acknowledge Him who are in truths from good. This is evident from the signification of "seeing," as being to understand, to perceive, and to acknowledge (See Arcana Coelestia 2150, 2325, 2807, 3764, 3863, 3869, 4723, 10705); and from the signification of "eye," as being understanding and faith (See Arcana Coelestia 2701, 4403-4421, 4523-4534, 9051, 10569); thus such as are in truths from good, for these are in faith and thence in understanding. That the "eye" signifies understanding and faith, is from correspondence; for understanding is internal sight, and it is internal sight that sees by means of the eye, for that sight determines the eye to objects and disposes its interior parts, which are many, for reception. It is in consequence of this that the iris and pupil seem now dilated, now contracted, now obscure, now bright and sometimes sparkling, altogether in agreement with the desire and want of the understanding. Therefore, to some extent, the affection of the thought can be seen from the eyes. It is from this correspondence that the eye signifies the understanding. The eye also signifies faith, because truths of faith have no other abode than the understanding; truths that do not abide there are not in the man (See Doctrine of the New Jerusalem,n. 28-36). The "eye" is, in the spiritual sense, faith, also because of the angels looking to the Lord; for angels turn their faces continually to the Lord, and see Him by faith and understanding. (On which turning, see the work on Heaven and Hell 123, 142, 143, 145, 151, 153, 255, 272, 510)