It sounds like you are confusing "carb" with "grains". It can be a challenge at first to figure out how to do life without grains in a family that consumes them. But it actually isn't hard at all.
You can eat any saucy thing served over grains with your family. They get their sauce over pasta or rice, you get yours over a sweet potato or just in a bowl with a spoon.
You can eat any meat and side-dish meal your family eats. If the side dish is a grainy thing, you can just have the veggies and nuke up a sweet potato for yourself.
Sandwiches/burgers: Wrap your sandwich fillings in lettuce leaves or just eat your sandwich as a salad with meat on it.
One difficulty you may have is that without the bread/rice your meal is scanty. You may need to put more meat in the dinners. The other night I just opened a can of tuna and added that to my dinner. Another difficulty is a casserole/hot dish meal. You may need to just make your own dinner instead or decide if this is a night to eat off plan. I figure if the dish is potato-based it's fair game.
But is it completely all or nothing, as in you can never eat anything non-paleo again without dire consequences? No, it's not. You will eventually find yourself in a situation where you have no choice. Make the best choice you can and do not feel like you did anything wrong. Take everything one meal at a time, one day at a time and you'll soon see how easy it really is.
Female, 5'3", 49, Starting weight: 163lbs. Current weight: 135 (more or less).
Starting squat: 45lbs. Heaviest squat: 180 x 2. Heaviest Deadlift: 230 x 2