The word "house" is a metonym for the people who live in the house and their descendants. Alternate translation: "all of the descendants of Israel" or "all of the Israelite people" (See: [[rc://en/ta/man/jit/figs-metonymy]])
Here "with your whole heart" is an idiom that means to be completely devoted to something. Alternate translation: "become completely devoted to worshiping and obeying Yahweh only" (See: [[rc://en/ta/man/jit/figs-idiom]])