I've been paleo since 08 and have been so through 2 pregnancies and am currently nursing my second child. Eggs are my standard breakfast and I eat alot of nuts. My first child, age 17 months, is also paleo (+goat milk). I bake her gluten free snacks using recipes from elanaspantry.com.
First, I would avoid peanuts anyways (technically not paleo because they are legumes). Most 'nut' allergies are to peanuts only, not other nuts. Almonds are a staple in my household! When many people I know first start paleo they miss out on coconut. Unsweetened shredded coconut makes a great snack.
Lastly, don't restrict carb intake severly. If I remember correctly, marksdailyapple.com suggested 100-150gm/day.