OP - The whole "eat the least amount of fat as possible to lose weight" is an 80s dieting fad that is too black and white, and is junk. There are a few vitamins which are fat soluble, so you need fat in your diet to absorb these vitamins. Also, fat supports your endocrine system (hormones) and with very little fat your body will, simply put, start doing weird things, hah.
I always tell people trying to lose weight, it's easier to exercise than to starve yourself. Why not eat what you want, take in those calories, and burn them (and then some if you're trying to lose weight). I'm not saying gorge, but be satisfied when eating - it's healthier for your body and soul. If you're going to restrict calories, -500 cals/day will take a pound off each week. Weight loss should be gradual.
Anyhoo, good luck!