“the house of Yahweh.” Cp. Jer. 52:13. The house of Yahweh is the Temple, in this case the Temple that Solomon had built. The burning of the Temple in Jerusalem by Nebuchadnezzar’s army is mentioned in 2 Kings 25:9; 2 Chron. 36:19, and Jeremiah 52:13.
“and the king’s house.” The king’s house is the palace, and the palace of the kings of Judah goes back to when Solomon spent years and much money to build his palace.
“every great house.” The “great houses,” the large and magnificent houses, are mentioned separately because they might normally be spared, especially if Nebuchadnezzar planned to have an administrative center in Jerusalem. The burning of Jerusalem was so horrific and widespread that there is archaeological evidence of that burning being found in Jerusalem to this day.