I think theres more than enough information about foods for fat loss online especially in the resolved questions section.The body uses fuel from carbs to burn off fat when we do cardio because cardio increases body temperature and oxidation of carb/fat will create water to stabilize the temperature.Its just that the process happens slowly and when our esophagus(the pathway from the mouth/throat to the tummy gets dehydrated it creates an uncomfortable feeling,so drinking water is the only way to NOT feel dehydrated,since internal rehydration is comparatively slow.

Even 30 minutes of brisk walking a day will be enough as far as exercise is concerned,but you may increase it to an hour and incorporate it with weights,yoga,pilates and also do other forms of workouts like martial arts & dance or other forms of cardio like swimming or cross country/eliptical to avoid boredom.
References :
a humble opinion

Carbohydrate is the major source of energy for the body. This is because, of all nutrients, it converts most readily to glucose which is the body’s preferred fuel. When we eat carbohydrate, it is converted to glucose in the digestive tract and distributed via the liver to cells throughout the body for use as energy. Once our immediate energy needs are satisfied, the remaining carb glucose is handled in one of two ways. Either it is converted to liquid glycogen (a temporary source of readily available energy) and stored in the liver or muscles. Or, it is converted into fatty acids by the liver and stored in adipose cells (fat-cells) around the body.

Protein is broken down into amino acids in the stomach and small intestine, then distributed via the liver to cells throughout the body for a variety of uses included cell formation and repair. Some surplus protein amino acids are kept circulating in the bloodstream, the remainder is either converted into a type of simple sugar and used as energy, or (like carbohydrate) is converted to fatty acid and stored in adipose cells.

Dietary fat is broken down into fatty acids and glycerol by the stomach and small intestine. It is then distributed (in the form of triglycerides) via the lymphatic system and bloodstream to the cells for a variety of specialized uses or, in the absence of sufficient carbs, for energy. However, since dietary fat cannot be converted into protein and only about 5 percent (the glycerol part) is convertible into glucose, and because dietary fat is not the body’s preferred choice of fuel, a significant amount ends up being stored as body fat in the adipose tissue.

If energy is required suddenly, the body first uses up its glycogen reserves. After this, it converts the body fat in the adipose cells into energy by a catabolic process called lipolysis. During lipolysis, triglycerides within the adipose cells are acted upon by a complex enzyme called hormone sensitive lipase (HSL). This converts the triglyceride into fatty acids and glycerol. The fatty acids are then transported via the bloodstream to tissues for use as energy, or (along with the glycerol) taken to the liver for further processing.
References :
From an article posted on my weight loss support forum.