I'm going to try and make this really simple for you.
TDEE (total daily energy expenditure) is the total amount of calories you burn in the entire day, this could include, sleeping, eating, training, general moving around.
BMR (Basal Metabolic Rate) is how many calories you would burn without getting out of bed, for example your braining ticking over in your head will burn around 700 calories.
TEF (Thermal effect of feeding) this is how many calories your body will burn whilst consuming and processing food. Your TEF will increase with a high protein diet.
EAT (Exercise Activity Thermogenesis) is the amount of calories you burn in a gym.
Now your NEAT (Non Exercise Activity Thermogenesis) is a big component and is everything you do outside of a gym. For example, taking the stairs instead of the lift or walking rather than taking the car.
Studies show that those who increase their NEAT have far superior fat loss results than those who just go to the gym everyday. Do Not neglect your NEAT, it is the golden ticket to results.