Good advice Lumberg. Fats that are found in nuts, fish, avocados, and supplements like fish oi and Udos oil are not only "ok," but they actually HELP you get rid of unwanted fat.
Saturated fats and anything hydrogenated can be avoided. If you eat eggs, 1 or 2 yolks is plenty of satfat to help your body balance things, however, the benefits from these types of fat are made in your body anyway. For example, your body makes cholesterol whether you eat it or not.
Here's the bottom line: If you are eating "clean" foods, which I define as foods that have 1, maybe two ingredients, there will not BE any need to avoid these fats because they won't exist. The only thing you're going to find high amount of partially hydrogenated ANYTHING in, is shit food. Go look at your snackwell cookies...