Go Nuts, Get Healthy Most nuts contain healthy monounsaturated fats (almonds, cashews, pecans, hazelnuts, pistachios and peanuts) and polyunsaturated fats (walnuts), which can help lower blood cholesterol. They are a good source of protein, fiber and the antioxidant vitamin E, too. The key is sticking to just a handful. While they are healthy, they are also high in calories so watch your serving size. In addition, be aware that coconuts and palm oil are high in saturated fats and should be avoided. 9 more super-healthy foods >>