'Myself' in the Bible

I will give one tribe to his son, so that My servant David will always have a lamp before Me in Jerusalem, the city I chose for Myself to put My name there.

But she said, “As the Lord your God lives, I don’t have anything baked—only a handful of flour in the jar and a bit of oil in the jug. Just now, I am gathering a couple of sticks in order to go prepare it for myself and my son so we can eat it and die.”

Then Elijah said, “As the Lord of Hosts lives, before whom I stand, today I will present myself to Ahab.”

But the king of Israel said to Jehoshaphat, “I will disguise myself and go into battle, but you wear your royal attire.” So the king of Israel disguised himself and went into battle.