Which dietary fats would you increase in order to create the best lipid lab results?

MUFAs and PUFAs ! Poly and monounsaturated fats are best for the lipid panel. Avoid saturated and trans fats. Remember though, any fats in large quantity may cause you to gain weight, and overweight/obesity will be bad for the lipid panel. Moderation is key.
Interesting question. Indeed the recommendation is to replace saturated fats with mono and polyunsaturated fats. Saturated fats will raise LDL cholesterol, however will also raise HDL cholesterol. Moderation is key, and recent data suggests a mediterranean style diet, supplemented either with olive oil ( mostly omega 6) or healthy nuts (more omega 3) is beneficial from a cardiovascular perspective.