Sugar and starch -> insulin -> craving for more sugar.
in a nutshell.
Fat -> Leptin -> feeling full, no need to eat.
So the answer, is - really whatever works for you, but be aware that our hormones control behaviour, so if you want to change that behaviour, you need to change the food that influences hormones. It isn't just about carbs, it's low-carb high-fat. If you are reducing carbs, you have to replace them with something, otherwise you are just eating less, which drives other processes which are often not helpful.
We all struggle sometimes, try to be easy on yourself, and seriously, look for food that you might enjoy that you've been previously not wanting to eat because of "too much fat" - creams, butter, bacon, soft cheese, paté, another burger.. if you can keep your sugar and starch very low, you really don't need to count much of anything else; there are potential positives here, it isn't just about self denial.
Personally, I used to consider myself mainly veggie, and I'm learning to cook and eat different types of meat that I just wouldn't have a year ago... it's been fascinating (and not all high fat all the time, I did a smoked roast chicken breast thing last night, I just grilled halloumi for myself and fries for the rest of the family).
on vitamin D - I did read somewhere that avoiding sunlight, as we were often told to do, is as harmful as smoking (on a risk for risk basis) - so it does help to get a little sun every day, but meat and eggs are great sources of Vit D too...