If you want something simple (I won't say easy because it's
not) that doesn't require a gym membership or any equipment, then get into calisthenics (bodyweight exercises). You should check out the youtube channel
Calisthenics Movement, because they're good about explaining the proper and improper ways of doing bodyweight exercises (good for preventing injury and unevenly developed muscles), and they explain how to do modified exercises for beginners, as well as more advanced moves.
I will say this, though, about losing weight and working out: 70% of the results you see are going to be from your diet, where 30% will be from the workouts you do. I say this because you'll never see the muscles you've developed if they're buried under layers of fat.
To keep yourself lean, avoid fatty/ sugary/ low nutrition foods, as well as foods packed with sodium. Instead go for fresh fruit, lots and lots of vegetables, greens, beans/lentils, whole grain breads and pasta (in moderation), and lean proteins like white fish. Lean red meat is fine, too, but only in moderation. You want to avoid unhealthy fats for the most part, but make sure you're still getting healthy fat in your diet.
I'd recommend learning to love avocados if you don't already; they contain more potassium than bananas (natural muscle relaxer that helps with soreness and also regulates your heart beat), vitamin A (helps keep skin healthy), healthy monounsaturated fat (keeps you thinking clearly and staying focused), fiber (keeps you feeling full for a long time), vitamin E (good for hair, skin and nails), vitamin C (good for skin and immune health), vitamin B6 (helps convert food into energy), vitamin K1 (good for blood clotting), as well as vitamin B9 (folate) which is essential for normal cell function and tissue growth. They also have a mild flavor, so they're good mixed into just about any salad.
You don't have to be a health nut 24/7. You're still free to treat yourself to junk food every once in a while, but just keep in mind that
your body is a reflection of how you eat most of the time. Keep at it and you'll see results.