The truth is that the human body is a lot like a computer- Garbage in, garbage out. When it comes to healing the body, a lot of the foods that help make a person feel better are the same foods that cause the body to drop pounds. The best way to burn fat is to eat the right kinds of foods. Instead of filling up on cereals and breads consider some alternatives like granola made with a mix of nuts, seeds, and dried fruit.
When planning your meals think about making a large batch of something that is versatile enough to keep you from getting bored and straying into junk food alley. Roast two spaghetti squashes, keep all of the veggie pasta in a container in the fridge and swap out different sauces like pesto, or marinara through out the week. Or try making a huge salad and using different dressings and combining different protiens. My favorite tip is to make a double batch of plain almond flour muffins and then flavor all of the muffins differently. I can freeze the muffins in the tin as batter or bake them off and freeze some for later.
The best way to burn fat is to have a plan, and work your plan. The paleo diet is a great plan that really works.