Loosing weight through diet's are just fads and shouldn't be your main goal, changing your lifestyle through diet and exercise to be more healthy and improve the quality of your life should be your main goal.
Fat is good for you and a good source of energy for your body, it's the carbohydrates that do all the damage. If you don't burn off all the carbs through exercise your body turns them in to fat and stores them around your body. Also if you diet to just loose fat without exercising you will loose fat but also lean body mass (muscle) which is a bad thing, you can loose fat, gain muscle mass without the scales changing much but your body composition (shape) will change and should be the change you strive for not just loosing weight.
I try to follow the Paleo lifestyle of which their are a ton of books out their on the subject and a ton of free info on the link below, yes it does pimp his book a bit but their is still a load of useful information there including a few free ebooks if you signup for the newsletter, one of them does cover fitness through some simple bodyweight exercises, lots of good information on the second link for exercise.
http://www.marksdailyapple.com/primal-blueprint-101/
http://www.alkavadlo.com/