1 This causes you to swallow air, which can aggravate indigestion. 2  Chew food completely and eat slowly. 3  Drink fluids after meals, rather than during. 4  Avoid late-night eating. 5  Avoid spicy, greasy foods. 6  Quit smoking. 7  Avoid alcoholic beverages. 8  Avoid caffeine. 9  Wait at least one hour after eating to exercise.