I don’t agree that eating lower carb is necessarily eating better.
If it helps you do better at managing your BG, lower carb is fine. But usually people replace those carbs with something else. What is it? If it’s saturated fat - then the lower carb diet has you going in the wrong direction.
Carbs are not the enemy. High BG and saturated fats are the enemy.
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Reduce saturated fats First on the list for a reason. Start with that.
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In general, reduce LDL, increase HDL.
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Increase omega-3 fatty acids. Eat fish (especially cold-water fatty fish such as salmon, tuna, mackerel, and sardines), and also eat nuts and seeds.
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Increase soluble fiber. You can try psyllium husk, it’s easy to take and can reduce your LDL. Also eat more oats, bran, barley, nuts, seeds, beans, and lentils.
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Exercise can help raise HDL. You are already doing that, which is great.
Here is a post with some other food suggestions: