Well, the biggest trap you can fall in to, is emotional eating. I still feel like it, sometimes, but I stop and think, 'Am I hungry' ? If I'm not ( and I'm not ), I do something else to lift my spirits ( in my case, I play guitar, so I put on some loud music and play along, or I just curl up with a book, although that took some training, books and chocolate always went together for me ).
It's taken me a while to be able to have sweets in the house, and not eat them ( because I have kids who are not on the diet ). At first, I got rid of EVERYTHING, so when I had a moment of weakness, the hassle of driving to the store was the thing that stopped me. I also bought nuts, and used them to snack on, early on. If you have sugar free options in the house, you can snack, without the sugar. From time to time, I really feel like something sweet, and I'll make something with dextrose and the recipes on the site, that's the last level of defence, if I feel I'm just gagging for a treat, I make one that is sugar free. The strawberry baked thing with a weird name is really easy to make, and very nice. I have strawberries in the freezer still from strawberry season, but it works with any sort of frozen berry you could buy if you don't have any and can't get them fresh at a fair price.
But, of course, the idea is to get through your short term cravings without feeding the addiction and in the long term, finding you need to resort to them less and less. A week ago, I'd have told you I never do that any more, but I had major cravings for sweets this week and did the strawberry thing a few nights ago.
I find that eating less sweets means my kids eat less, b/c often they got a cake or an ice cream b/c I could not resist buying one and they were with me. So, even if they are not 'sugar free', it still helps them for you to stick to it. We also have no soft drinks in the house, as a rule. My son and I had a boys night last night and the first thing he requested was a 'real drink', and I don't mind him having it as a treat, but before it was constant, because I always had it.