You need way more than what comes in the veggies naturally or on the nuts. When I first made the transition I thought I might die, especially around week 5 of the transition. A teaspoon of salt licked off my hand plus magnesium, calcium and potassium supplements helped a lot.
The reason why you need the extra is your kidneys are flushing the water that has been stored in your cells throughout your body. Unless you supplement, you're going to feel pretty awful until you reach equilibrium. After that, you can choose to stay super low carb or consume a little more. And of course, you can always choose to consume lots more primal healthy carbs at any time.
You probably have no reason to be low carb at all. It's primarily a big help for people who resemble Ken Korg--i.e. the middle-aged office guy with the big belly, the high blood pressure and high cholesterol. I don't think that is you.
Female, 5'3", 49, Starting weight: 163lbs. Current weight: 135 (more or less).
Starting squat: 45lbs. Current squat: 160 x 2