If you read the book, it is quite clear about what you can and can not eat and drink. It is best that during at least the first 2 weeks of induction that you do not have anything sweet (artificially sweetened drinks, etc..). After that you may want to try them but they do stall many people.

As for eating a satisfying amount and staying under 20 carbs. It is quite easy. Again, look at the list of foods. You can have an omelette for breakfast, meat and vegies for lunch and meat and salad for dinner. Atkins recommends 1 cup of vegies (those that are listed) a day and 2 cups of salad. You can pretty much eat all the meat you want. Meat has no carbs and the listed vegies and salad have a very low amount of carbs. Many people find it hard to get near the 20 grams of carbs. If you haven't gone there yet, I would recommend you go to the FitDay website. You can register for free and enter everything you eat. It will calculate the carbs for you.

Good luck!