@Bella Dea,
Bella, do you have things like a specific overall calorie # in mind for every day's eating? A deficit of 3500 calories is a pound, so if you give yourself a 250 calorie deficit every day (e. g. 1750 calories versus 2000, or 1800 calories versus 2000 but with some cardio), you have the potential (it's not a straight line or a sure thing) to lose a good half a pound a week, which is a decent rate. Most people intake more than 2000 calories/day when they start to think about dieting, so you could find yourself with a more significant caloric deficit and the potential for a greater loss.
If you eat 2100 calories/day (I'm using the # because it's easier to do the math), then you more or less want to break it down as follows:
735 calories carbs
735 calories protein
remainder (630) calories fats, further broken down as follows ~
210 calories monounsaturated fat (olive oil, nuts)
210 calories polyunsaturated fat (low fat margarines, fat from plants)
210 calories saturated fats (fats from meats, coconut, full fat dairy)
A fat gram is 9 calories, so 210 calories of fat is 23+ grams of fat, and the total # of fat grams is 70. The proportions aren't perfect and you shouldn't worry if you don't follow it to the letter. But the big idea is, yes, you can eat some fat but less than 1/3 of your calories, and then divide that more or less into thirds. If you need to watch cholesterol, tip the fat balance in favor of more mono- and polyiunsaturates. And stay away from trans fats if you can.
For the remainder of your calories, carbs and protein can be equal. A lot of people have a love affair with carbs and I am one of them. Putting together more of a balance means that you eat different things, which is generally better for nutrition and more likely to keep your weight loss from plateauing in the future. Protein is also good for muscle building whereas carbs are used for energy.
One of the reasons why low carb diets have worked for people is that it's actually just a fancy way of getting a caloric deficit. Another reason is because usually people stop eating so much garbage (e. g. what are called "bad carbs") in favor of better fare ("good carbs"). But it's not just in terms of differing carb types of whatever (glycemic index), it's also that you're often eating things with less processing, less salt and less refined sugar, which will also help you to lose. But caloric deficits are how you lose weight, and being careful about the makeup of the calories that you do eat makes it easier to do cardio and also easier to survive cravings and stave off hunger unless your body really does need food.