We stopped first at the closest, and by far most popular, put-out spot, Mather Point, for a rather Griswold-like experience full of foreign tourists with selfie-sticks. But their commercialism and noise didn't dim the beauty of this natural wonder.
Then we walked part of the Rim trail into the village for lunch. Note: If you want a mid-day meal at El Tovar, don't wait too late. Lunch ends at 2:00 and the restaurant doesn't open again for dinner until 5:30.