To battle the hunger, I just eat small, nutritous snacks that contain "good" fat throughout the day. When I feel the hunger creeping up, I don't deny myself that healthy snack.
To keep my fat burning efforts on track, I keep a small journal of what I eat along with the calories and I eat food low in fat or food that contains no fat. I also exercise 3-4 days per week.
If for some reason, I slip up and eat something high in fat or I exercise twice a week instead of 3-4 weeks, I don't beat myself up about it, then give up. I just say, "Oh, well I had a bad week, I gotta get back on track" AND I just get back on track.