The first step to feel liberated @Mazzatron is to understand you do NOT have a sugar addiction or sugar craving. Do you open the pantry, grab the bag of sugar, and take spoonfuls of it? No. Nobody does, because it is not the sugar, it is the combination of sugar and fat. The sugar and butter in cakes, sugar and fats in chocolate, sugar and cream in ice cream and so on. The same with salt and fat. Have you ever tasted salt-less chips or crisps. How many do you eat? Very very few, yet those are carbs, how come you don't jump on them.
It is the processing and the combination of ingredients . IF you focus on the sugar, there is no way out. Think processing. For the whole family. Take advantage of the summer coming and ditch "treats" in favour of cherries, slices of watermelon and so on.
The only way to cut these dependency on highly processed food, engineered to be irresistible, is to start really eating more whole foods. A cake on Sunday morning, baked with the kids, absolutely fine and healthy. Focus on plants, a lot of plants, instead of food that comes out of a factory plant. Learn to cook a variety of vegetables even some you have never tried before.
It is the countries that demonise carb that are the fattest on Earth. From France to Japan, women eat carbs daily but are very critical of processed food.
Put the focus on what is good for you and your children. Having healthy eating habits is a gift you will them for life. Anything in packets just puts them on your path.
You do NOT have to buy treats for the kids. Have some middle dark chocolate (50%) in the house, and put a piece between slices of bread. Tons of French kids have that after school. Or a real croissant from the bakery, not an industrial baked good. Put fruit pieces on a skewer alternating kiwi, strawberry and banana. They will love it and so will you. Eating crap has been normalised in UK. Focus on doing good to you , your body, your family.
Every time your hand goes on that shelf to buy a snack , sweet or savoury, including the baby food, someone gets a bonus. Job done, another woman, another family hooked. Leave them on the shelf and grab a pomegranate, a melon and if you fancy savoury , olives, a piece of real cheese, not that industrial solidified-fat cheese type, that comes squared and wrapped in plastic.