The reason Yahweh 'chose' the Hebrews is that they chose him. Yahweh was one of many Canaanite gods. As the various tribes settled in different areas of Mesopotamia, some of them adopted a single god from the pantheon as their tribal god, in much the same way that the Greeks had patron gods.
Originally, Israel called their god El or Elohim after the head god of the Canaanite pantheon, whilst Judah adopted Yahweh. The earlier stories about the pantheon as a whole became about El in Israel, and Yahweh in Judah (though some stories weren't shared by both tribes).
When Israel became united with Judah as the Kingdom of Israel, 'el' referred to any god, 'Elohim' became one of the titles of God, and Yahweh became his proper name.
Originally, Israel called their god El or Elohim after the head god of the Canaanite pantheon, whilst Judah adopted Yahweh. The earlier stories about the pantheon as a whole became about El in Israel, and Yahweh in Judah (though some stories weren't shared by both tribes).
When Israel became united with Judah as the Kingdom of Israel, 'el' referred to any god, 'Elohim' became one of the titles of God, and Yahweh became his proper name.
