If you are wanting to do low carb you should choose which low carb plan you want to do first. All of them (the ones I've read anyway) have similar induction food lists to the Atkins acceptable foods (for induction) list.
http://www.atkins.com/articles/atkin...ceptable-foods
Also, most 'low carb' plans that I've read about have 4 phases like Atkins.
1. Induction - which is truly low carb, you'll get most of your carbs from leafy green vegetables
2. OWL or on-going weight loss - which is where you start to slowly add (good) carbs back into your diet
3. Pre-maintenance - which is not done until you are very close to goal
4. Maintenance - maintaining healthy eating habits for life
Afterward induction it gets a little different. I know my plan's OWL is a bit different from Atkins on what foods are allowed and what aren't.
I'd suggest you take a look at the Atkins website and familiarize yourself with the phases. You should be eating 15-20 grams of carbs per day, but not fruit during induction.
http://www.atkins.com/articles/atkins-phases
PS: Don't buy any of their products, they are NOT allowed during induction.