The big thing that I always try to focus on is training the body to effectively use fat for fuel. Due to the high prevalence of carbohydrates in the world we currently live in, many of us end up "carb dependent," that is our bodies like to run on carbs, and nothing else. When we try to restrict calories, instead of just burning fat, our bodies get angry at us and make us eat more food. There are two basic ways to retrain the body to burn fat: Fasting and restricting carbs.
Fasting is probably the simplest one to implement. You can fast a little bit each day, or you can fast a lot all at once. For example, you could gradually push your breakfast time back until you do away with breakfast, and then you would be fasting from dinner until lunch the next day. Another method is to eat normally, but once or twice a week try to go an entire day without food. Those are just examples; I would encourage you to look up more in depth discussions of "intermittent fasting," both on this forum and on the internet in general. The nice thing about fasting is that you're training your body to burn fat by adjusting the time you eat, and you can just keep eating the same things.
Restricting carbs is a much bigger change, but it also has much more potential benefit. There are many different ways to go about a "low carb/high fat diet" and again, there are numerous discussions and good sources of information about this topic, both on this forum and elsewhere. Since you have an inflammatory condition (eczema), I would recommend an extreme version of the diet for at least 2 weeks, in order to see if there are any foods that trigger your inflammation. The common foods that trigger inflammation are grains (especially wheat), and dairy products. That being said, people can be sensitive to all sort of weird things (mostly plants and plant products), and the best bet is to start in a "safe space" and introduce other things from there. Basically, I'm suggesting you eat nothing but meat for at least two weeks, and then start adding in other foods to see if you have any adverse reactions. I would recommend fatty red meat, since red meat tend to be more nutritious and it's tough to eat enough lean meat to keep your body going. Like I said, it's a little extreme, there's no denying that. You can also run a search for "carnivore diet" if you're not sure about it, but I would do the version of the diet without eggs or dairy, since those might be inflammatory triggers. I'm not suggesting you do a meat-based diet forever, but it is a good place to start if you're determined to figure out what foods agree with you and what foods don't. You will also definitely lose body fat as a "side effect."
Those are my suggestions. I didn't feel like writing a book, but I hope I gave you enough to get you started in the right direction. I should tell you that, while both those techniques have a fantastic track record, there are also people who think they're a bad idea. You've taken ownership of your health by recognizing that what you're doing now isn't working well, and deciding to do something different. Now you have to decide on the next step. Feel free to ask any more questions...
Edit: I should point out the neither of my two suggested methods involve counting calories. They work best if you avoid snacking, eat 2-3 meals a day, and eat until satisfied during each meal.
