Hi Tony. The way to dramatically reduce your serum triglycerides is to dramatically cut down your intake of sugary & starchy carbs. Eat enough carbs to fuel your workouts but no more. As your weight drops, your cholesterol will come down.
You don't need to go as low as the sedentary fatties in THIS study. Check out Figs 3, 4 & 6.
To convert from mmol/L (EU) to mg/dL (US), multiply cholesterol figures by 38.7, triglyceride figures by 88.5 and glucose figures by 18.