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.

5038. 'A place where the king's bound ones were bound' means the state of those governed by falsities. This is clear from the meaning of 'a place' as a state, dealt with in 2625, 2837, 3356, 3387, 4321, 4882; and from the meaning of 'the king's bound ones' as those who are governed by falsities and who, being governed by falsities, undergo vastation, and those who, while being regenerated in the world, undergo temptation. For temptation involves the laying waste of falsity and at the same time the consolidation of truth. The expression 'the king's bound ones' is used because 'a king' in the internal sense means truth, 1672, 1728, 2015, 2069, 3009, 3670, 4575, 4581, 4789, 4966, and therefore 'his bound ones' means those governed by falsity. The places where the king's bound ones were kept were also called 'pits', which was why Joseph said, in verse 15 of the next chapter,

By theft I have been taken out of the land of the Hebrews, and here also I have not done anything for which they should have put me in the pit.

As regards 'a pit' meaning a place of vastation, see 4728, 4744.