I do not follow Bernstein's diet but am always looking for ways to (reasonably) lower my total daily carbs. Here are a few good low carb items: beef jerky, cottage cheese, cheese, deli meat, salad, canned green beans, collard greens, green peppers, cucumber, SF jello.
These items are lower in carbs: Canned chili without beans, beef stew, some light cambells soup (23ish carbs per can), rasberries. I would also recomend buying the lowest carb bread you can find (assuming it tastes ok and you are still eating bread). Lower carb bread has really helped me. My current bread has 17 carbs per 2 slices (after deduducting half the fiber).