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I would have a hard time committing to it. I was hoping to find some low carb diet that does not consume alot of time, and that is lower in fat, and allows a variety of vegetables and possibly fruits.
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I think you misunderstand Atkins, or perhaps your sister and niece are not following Atkins--they just THINK they're following it.
Atkins is easy, doesn't consume a lot of time or money (unless you buy all the expensive fake low-carb food coming out now) and allows a HUGE variety of vegetables and fruits.
People generally hear the word "Atkins" and think of "Induction" or the first phase of the Atkins diet. On this first phase, you limit your carb intake to 20 grams per day, all of which MUST be veggies, preferably deep-green veggies.
After two weeks or more on Induction, you move onto the next phase... you can read all about the different phases on the Atkins website, here:
http://atkins.com/howto/beforeyoubegin.html
One more thing: fat is not the enemy. utter, olive oil, and other natural fats found in whole, REAL food are not bad and are necessary for good health. When I started low-carbing, I had to increase the amount of fat I ate... which was very hard because I spent years trying to be as non-fat as possible.
I cut out all the sugar and white flour... a HUGE part of Atkins and real low-carb plans. It was difficult at first because I am a real sugar addict. Other people can have "just a small bit" and be okay, but not me--I binge.
But once I quit the sugar and white flour for good, increased my good fats and followed a strict low-carb diet, the cravings stopped. I felt so much better! And the weight came off very easily! I've lost 30 lbs so far--after a lifetime of starving myself.
Please investigate Atkins for yourself and see. It is not what you think it is. I eat more veggies than I ever did. Dessert for me might be a bowl of berries with REAL whipped cream (no sweetener). For a snack I might have an apple with almond butter. I am in the Maintenance phase of Atkins and I haven't had sugar in 13 months... and I don't miss it.
And if you still consider it too drastic, then consider one of the many, many low-carb plans out there that basically repackage Atkins in socially acceptable ways. Protein Power, The Schwarzbein Principle, The Carbohydrate Addicts Plan... heck, even Weight Watchers has a low-carb plan out now.