After the people of Israel entered the land of Canaan and before they had kings to rule them, God appointed leaders called "judges" to lead them in times of trouble.
To be in authority is referred to as being over someone. Alternate translation: "to rule my people Israel" (See: [[rc://en/ta/man/translate/figs-idiom]])
Here the metonym "house" refers to David's ancestors continuing on as the rulers of Israel. In [1 Chronicles 17:4](./03.md) God told David he would not be the one to build a house for Yahweh. There "house" represented a temple. If your language has a word that can express both ideas, use it here and in 17:4. (See: [[rc://en/ta/man/translate/figs-metonymy]])