Struggling to overcome fears of gadgets for weight loss

Hello to all you potential coaches! I am new to this and forgive any mistakes I may make. My daughter gave me a Fitbit for Mother's Day, and suggested I also participate in these forums, as I have grown weary of weigh and pay programs and have become a bit of an introvert. Either way, I am still 60 pounds over weight and need to do something other than sit at work and sit at home. I've charged my Fitbit and have hit my 10,000 steps goal since 5/17. Just started logging food today. I'm a bit confused with the intake and output of calories. If I consume 1200 calories, but burn 500, am I suppose to eat another 500 calories? It might be a silly question, but I was always under the impression you lost weight eating a certain amount, and burning more... Also, carbs and sugar put me to sleep. Anyone aware of programs that lean towards more protein then carbs?