New too all of this

The best exercise for burning fat is any exercise you find fun, because you'll want to do it, so you'll do it often, instead of procrastinating it, skipping workouts at the slightest excuse, and that sort of thing. If you can't find one that's fun, at least make sure it's tolerable and practical to fit into your day . . . but fun is better.

It doesn't even have to be official exercise in a gym. Any fun way of moving more works: Walks in the woods, playing frisbee, active VR or video games, dancing . . . anything.

Make sure you do just enough to feel a little challenged, but not so much you feel exhausted. Challenge creates fitness progress and improves health. Exhausted makes you drag through the rest of the day, resting more, burning fewer calories in daily life than you would've otherwise, effectively erasing a bunch of the exercise calories. That's counter-productive.

Honestly, exercise isn't necessary for weight loss, though it does let us eat a little more when achieving the same sensibly moderate weight loss rate. Mostly, exercise is for health and well-being, including that happiness part.

For good eating habits, any combination of foods you like eating, find affordable and practical to buy/prepare/eat that adds up to the right number of calories, keeps you full and happy most of the time, and ideally gives you reasonable overall nutrition. Most people are going to feel more full and energetic if most of what they eat is things like meat, fish, veggies, fruits, whole grains, dairy, eggs kind of stuff.

It's fine to eat some calorie-dense but less nutrient-dense treats sometimes at reasonable portion sizes and frequencies within calorie goal, as long as the majority of the food is more filling and nutritious.

It's OK if it takes you a little time to experiment and figure out what type of activity/exercise and what eating routine works best for you. Keep working at it, you'll figure it out. That time is an investment in a healthy, happy future life.

Don't believe everything you read on the internet or in the tabloids, or see on reality TV: Extremely fast weight loss is a bad idea. It's not essential to adopt a hugely restrictive set of eating rules, and eliminate everything enjoyable. Exercise doesn't have to be miserably intense punitive daily HIIT or similar.

The point is finding new, reasonably happy habits that will work long term to reach a healthy weight, then stay there. Making it into a suffer-fest doesn't help.

Best wishes - the rewards of success are more than worth the effort, IME.