I carb cycle. It's basically a low carb diet. If you're looking to lose weight, especially fat, it works. You do not have to go hungry and it can be cheap.
An introductory to it would be to eat high protein and vegetables at every meal, with 1 cup of grains or low glycemic starches a day. Lean protein is always good.
Mind your body and when you're full, save the rest for later. The point is to keep down insulin spikes, which tells your body to store fat, so whole grains and low glycemic starches and fruit that are grown would be best. I'd avoid bread period and stick with brown rice, oatmeal, sweet potatoes, lentils and beans. In raw form, they are very cheap. I would avoid canned anything since they tend to hide sugar and other ingredients at every turn.
I'm speaking from experience when I say counting calories and exercising has a limit of any success at all. I exercised and I became toned beneath all the fat, but I did not lose weight because I did not change my diet. I changed my diet and restricted calories. I lost weight, I was hungry, I hit a plateau and then I started gaining it back. This was more than once, and each time I restricted food intake and dealt with hunger I would always reach a breaking limit and I couldn't do it anymore.
So far with the low carb I'm able to do it pretty easily, because when my body says I'm hungry, I eat protein and veggies. I do have cheat days and times where I crave processed everything! >_< I am not perfect and I've fallen off the wagon, ha, but I know I can stick with it overall.