What are some good ways to lower triglycerides?

Many things. Trigylcerides are very amenable to lifestyle changes. Weight loss and exercise will helpt to lower trigylcerides. Certain modifications in your diet can be very helpful as well, such as reduction in simple carbodyrates (candy, sweets, soda, juices, white bread, white rice, pasta).
Multiple. Lose weight, exercise, limit alcohol. Control blood sugars if you are diabetic. Make sure your thyroid is not underactive. Low fat diet.
Low carb diet. Eat only meat or fish or cheese or eggs or poultry and low starch veggies, drink only water. In other words avoid all carbs, carbs will only briefly raise your sugar levels and then you will get hungry again. The fats in the meat or fish or cheese or eggs or poultry will act like a "log on your metabolic fire" to keep your blood sugar stable for hours . Healthy blood sugar 90-99.