First welcome to the Fitness Forum of boards.ie. It's a great place to get information and motivation.
Congratulations on the decision to start in with eating healthily and exercising. The benefits will make you look and feel great.
The fact that you feel slimmer and that your clothes are feeling looser on you means that you are going in the right direction. This is the correct way to evaluate your progrress. You should not get hung up about the number on a scales as this is not necessarily an indication of health.
Are you training at home or in a gym? If in a gym, you should enquire if they do body fat measurements and if they do, get your body fat measured and track that instead of just your weight.
If you are working out from home, then this thread
might give you some ideas of other exercises you can try.
If you have a read of these two threads
There is a lot of good information about eating a healthy diet and how to workout the number of calories you require for your sex, age and current weight. This figure is called your maintenance calorie figure and is the amount of calories you should eat daily to maintain yoru current weight.
The the rule of thumb is if you are looking to drop bodyfat then you eat slightly below this figure by around 300-500 calories daily. And if you are looking to gain some lean muscle, then you would eat slightly above this figure, again by around 300-500 calories daily. This should see you lose/gain by around 1lb per week. Some weeks might be a little more and other slight less. Also you will have to readjust these figures as you gain or lose weight. As you gain weight you will need to eat more daily calories to continue gaining. Likewise as you lose weight, you will need less calories to maintain that weight.
Well sorry for the long post. Hope some of it is useful to you.