This image pictures cattle going into a valley where there is green grass and water and emphasizes that God led the people of Israel and took care of them. (See: [[rc://en/ta/man/jit/figs-simile]])
Here "glorious name" refers to an honorable reputation. Alternate translation: "to make sure people know who you are and honor you" (See: [[rc://en/ta/man/jit/figs-metonymy]])