How we cite our quotes:
Quote #1
David returned to bless his household. But Michal the daughter of Saul came out to meet David, and said, "How the king of Israel honored himself today, uncovering himself today before the eyes of his servants' maids, as any vulgar fellow might shamelessly uncover himself!" David said to Michal, "It was before the Lord, who chose me in place of your father and all his household, to appoint me as prince over Israel, the people of the Lord, that I have danced before the Lord. I will make myself yet more contemptible than this, and I will be abased in my own eyes; but by the maids of whom you have spoken, by them I shall be held in honor." And Michal the daughter of Saul had no child to the day of her death. (2 Samuel 6:20-23, NSRV)
Then David returned to bless his household. And Michal the daughter of Saul came out to meet David, and said, How glorious was the king of Israel to day, who uncovered himself to day in the eyes of the handmaids of his servants, as one of the vain fellows shamelessly uncovereth himself! And David said unto Michal, It was before the Lord, which chose me before thy father, and before all his house, to appoint me ruler over the people of the Lord, over Israel: therefore will I play before the Lord. And I will yet be more vile than thus, and will be base in mine own sight: and of the maidservants which thou hast spoken of, of them shall I be had in honour. Therefore Michal the daughter of Saul had no child unto the day of her death. (2 Samuel 6:20-23, KJV)
This marital tiff over religious propriety ends up having big negative consequences for Michal. It's another strike against the House of Saul.
Quote #2
"[…] Moreover the Lord declares to you that the Lord will make you a house. When your days are fulfilled and you lie down with your ancestors, I will raise up your offspring after you, who shall come forth from your body, and I will establish his kingdom. He shall build a house for my name, and I will establish the throne of his kingdom forever. I will be a father to him, and he shall be a son to me. When he commits iniquity, I will punish him with a rod such as mortals use, with blows inflicted by human beings. But I will not take my steadfast love from him, as I took it from Saul, whom I put away from before you. Your house and your kingdom shall be made sure forever before me; your throne shall be established forever." In accordance with all these words and with all this vision, Nathan spoke to David. (2 Samuel 7:11-17, NRSV)
And as since the time that I commanded judges to be over my people Israel, and have caused thee to rest from all thine enemies. Also the Lord telleth thee that he will make thee an house. And when thy days be fulfilled, and thou shalt sleep with thy fathers, I will set up thy seed after thee, which shall proceed out of thy bowels, and I will establish his kingdom. He shall build an house for my name, and I will stablish the throne of his kingdom for ever. I will be his father, and he shall be my son. If he commit iniquity, I will chasten him with the rod of men, and with the stripes of the children of men: But my mercy shall not depart away from him, as I took it from Saul, whom I put away before thee. And thine house and thy kingdom shall be established for ever before thee: thy throne shall be established for ever. According to all these words, and according to all this vision, so did Nathan speak unto David. (2 Samuel, 7:11-17 KJV)
Here, God promises that David's offspring—particularly, King Solomon—will continue to rule and will build God a temple (that would be the house). But the idea that they'll rule "forever" also gives rise to the idea that the Messiah will come from David's house, as believed in Judaism and Christianity.
Quote #3
Then King David went in and sat before the Lord, and said, "Who am I, O Lord God, and what is my house, that you have brought me thus far? And yet this was a small thing in your eyes, O Lord God; you have spoken also of your servant's house for a great while to come. May this be instruction for the people, O Lord God! And what more can David say to you? For you know your servant, O Lord God! […]" (2 Samuel 7:18-20, NRSV)
Then went king David in, and sat before the Lord, and he said, Who am I, O Lord God? and what is my house, that thou hast brought me hitherto? And this was yet a small thing in thy sight, O Lord God; but thou hast spoken also of thy servant's house for a great while to come. And is this the manner of man, O Lord God? And what can David say more unto thee? for thou, Lord God, knowest thy servant. (2 Samuel 7:18-20, KJV)
David gets humble… for once. He feels overawed that God has helped him achieve this much, and it's another example of David's intense piety.