Fat and carbs are sort of interchangeable in your body, so carbs get turned to fat and fat to sugar all the time. The difference is that fat doesn't raise your blood sugar and carbs have the effect of making you more hungry sooner, so it's actually better to eat more fat and less carbs. Obviously weight for weight you need to eat less of the fat, because it gives you 9kcal per gram instead of 4kcal per gram of carbs.
Try a week of not eating any bread, sugar, pasta, rice, cereals, cake, biscuits, sweets and (well the odd cracker with cheese is fine). Eat vegetables with butter (NOT margarine) to make them taste nicer, eat as much cheese as you like, eat salads with full fat mayonnaise or other sauce. for breakfast, eggs and bacon, maybe full fat Greek yoghurt with some nuts and a bit of honey. Eat fruit if it grows outside in the UK, as it'll be low in sugar.
Don't eat anything low-fat. You'll lose weight and your blood sugar will have been lower during that time. It's a hard belief to overcome, that fat is bad for you, there's so much information out there telling you it is - and it's simple isn't it - eating fat makes you fat makes sense.
However, almost nothing about nutrition is straightforward, scientific evidence is hard to get right in the field, because you can't treat people like lab rats measuring their food intake and exercise down to the calorie (for long periods anyway), and everyone is built slightly differently. Plus, there is so much fake information out there - from food companies trying to sell you stuff, from purveyors of fad diet books and supplements to big food corporations claiming their food is healthy.
One of the big studies on diet and heart disease was based on ideas in the 60s where they looked at various heart disease data from different countries and their national diets and from that they concluded that those eating the highest amounts of fat had more heart attacks, however, they only did this by ignoring data from several countries which didn't fit that pattern - such as France, Germany and Japan.
Also, at the time tobacco was a big cause of heart attacks, and that was becoming apparent, so the government, with no doubt some prompting from the tobacco lobbyists and the massive sugar and cereal manufacturers were happy to have a scapegoat.
Research now shows that fats aren't per se bad - some are, especially trans-fats, which you find a lot in low-cal products, margarine etc. There's overwhelming evidence they're bad, and are already banned in some countries. Other vegetable oils are bad too, depending how they're made, but probably the fats you think of as the worst - lard and butter aren't bad at all. Olive oil is great for everything and coconut oil too.
There's lots of good information out there - LCHF is not a diet book or a product, it's the result of looking at the most up to date evidence on nutrition, especially for diabetics, and there are a set of principles and guidelines but they're not too complicated once you've got the idea.
