Here's two ideas:
1. Do the Atkins diet for 6 weeks and stick to it. It's not healthy but you will lose the weight. I did it and lost 30 pounds in 6 weeks. I also got terribly constipated from all the fat and protein and my breath was terrible from ketosis. Still, it worked and it only lasted six weeks. Because your carbohydrate intake is low during Atkins you should not do much strenuous, endurance type of cardio exercise. If you do Atkins, do it right and by the book, don't just do what you've heard Atkins is supposed to be. After I lost the weight I began to get 30 minutes of vigorous cardio every other day plus I walk for 40 minutes every day (to work) and I switched to a healthy diet. I have not regained the weight in five years.
2. Do a good cardio workout for thirty minutes 3-5 times a week. Work hard and get your heart rate up. Try HIIT. See the link below. Write down everything you eat every day for one week and determine how many calories you are taking in. Compare that to what your caloric intake should be and then adjust accordingly. Be obsessive about writing down what you eat and totaling the calories. Don't leave out ANYTHING! This may take longer than Atkins done by the book but it is healthier and more pleasant.
For an inexpensive indoor cardio workout you could try jumping rope. If you dress warmly runnng outside during cold weather isn't so bad. You'll warm up from the exercise. Just wear a bandana over your mouth and nose or a balaklava to warm up the cold air so it doesn't dry out your throat.
For your diet I would suggest that you eliminate potatoes, sugar, as much saturated fat as possible, white rice, anything that is mostly white flour and try to eat lots of fresh fruit, whole grains, and vegetables. Sweet potatoes, skinless chicken, brown rice, oatmeal are all good. Quinoa is kind of exotic but it is very health and easy to fix. I like it with some sweet corn mixed in.
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