Take small steps
To lose weight healthily, you should aim to lose 1-2lbs a week, so do not expect to see results daily. Make a note to weigh yourself at the same time of the same day each week. Not only will you see real results this way, you will get a better picture of how things are going over the longer-term.
Set achievable targets
Successful weight loss takes time and patience. At 1-2lbs a week, losing 2 stone should take at least 3 months. So why not set yourself a mid-way target, say, half a stone in a month? This is much more manageable and reaching it will give you the sense of achievement you need to keep going.
Do not deny yourself calories
Calories provide us with the essential energy and nutrients we need to function properly. To lose weight, women need between 1400 and 1600 calories a day, men between 1800 and 2000 calories - so do not restrict your intake too much!
Do not crash diet
Experts all agree that crash diets DO NOT WORK in the long-term. Starving your body of essential nutrients puts it into starvation mode, making you hold on to calories for energy. Over time, many crash dieters end up gaining more pounds than they lost originally.
Do not skip breakfast
Eating breakfast not only kick starts your brain and your system for the day, it has also been shown that people who eat breakfast tend to eat better as they do not go for fattening or sugary foods to fight energy slumps later in the day. 
Reward yourself. You deserve it
Allow yourself the odd treat. The joy of weighing yourself weekly is that you can still enjoy the occasional treat - as long as it is just that - occasional!