Captain Black makes the main point: Don't waste money on interest charges because it is money down the drain. If you are trying to save, don't take on new debt and pay off whatever interest bearing debts you have got as soon as you can. Your debt is costing you more than your savings will earn. Saving while you have debts is crazy.
OK, I know that easy to say but hard to do so you need to keep track of all the ways your money is being spent. We all know about the big stuff - rent, car loan, fuel, food - but we tend to overlook the smaller stuff (cigarettes, burgers, coffees, magazines, beers, illegal drugs) and the stuff we can't see (electricity usage, gas usage, internet access, mobile phone contracts). We will never get a good overall picture unless we track EVERYTHING so my suggestion is to keep a notebook in which you write down EVERY time you spend any money. Then you can see where money is being wasted that could have been used to cut your debts.
Another way to get to grips with spending is to stop yourself before EVERY spend by asking: " Do I absolutely NEED this thing?" IF the answer is 'yes', then ask yourself, "Do I need this thing right NOW? What makes THIS my top priority in the world?" If it is not your top priority, wait until it is. There are exceptions such as when there is an opportunity to save money in the future, for example a large pack of food this week might be cheaper than two small packs over two weeks.
The best way to save is avoid wasted money. Interest charges are wasted money. Buying stuff you don't need or won't use is wasted money. Good luck with your budgeting.