I think gluten-free is a fad and the benefits are way overstated. Carb-free will definitely help you lose weight in the short term, but realistically it's not sustainable. Plus, if you're going to be exercising, your body needs carbohydrates for energy. The key is finding a diet that's sustainable. The simplest way to diet is to eat by color. These aren't ironclad rules, but for the most part they're solid:
- Eat no white things (primarily refined flours and sugar)
- Eat dark green things, avoid light green things
- Eat medium amounts of yellow and red things (tend to have lots of natural sugars)
- Eat all things orange, purple, brown, and pink
Plus, just common sense stuff:
- Avoid anything that advertises as a "superfood," or claims to get rid of "toxins"
- Cut out sugars, especially soda.
- Chicken and fish: these are the meats you eat now.
- However, do not avoid fat at all costs, and avoid "low-fat" shit. Your body needs fats.
- Learn to cook: even the "healthy" options are bad for you at pretty much every restaurant.
As far as exercise goes, I've gotten the most bang for my buck using a kettlebell. They're relatively cheap, travel easily, and you don't need a lot of space to use it. It also provides a great mix of cardio and muscle-building, and you need to build muscle to stay in shape. 15-20 minutes a day/every other day is all it takes, its a very efficient workout.
Good luck, and I know you can do it!