Well, everyone has a different way to save. This is what I do and you can take it or leave it as advice.
1. Layout all your income and expenses (rent, utilities, cell phone, car payments). What I have left is money I can save and/or spend.
2. Knowing that amount, I will always put in $x into a savings account. The rest stays in checking.
3. When my savings hits $y, I move it into a CD. I let the CD grow. Interest rates are low now and I don't earn a lot in interest, but it mentally keeps me in the saving frame of mind. CDs are liquid too so it's money for a rainy day.
4. I don't withdraw from savings unless it is an emergency or unforeseen expense or non-monthly expense. Examples are medical bill, car tires, car insurance respectively. When I want to spend mad money, I use the money from the checking account, not the savings account.
Example with hypothetical numbers. You earn $1000. Your expenses are $400 in rent and $400 in utilities and bills. The difference is $200. You move $100 from checking into savings every month. That leaves $100 in checking when you want to go out to eat or something like that.
Don't move $200 into savings because you'll want to tap into savings like you have before for small expenses like going out to eat. Once you spend $100 from your checking, then you are tapped out. This forces you to manage your mad money. Don't tap into your savings account. Live within your means.
After one year, you have $1200 in savings. you can move $1,200 into a CD. If you want to save more, move $150 into savings a month. This leaves you $50 in checking to spend on small expenses. If you put in $150/month in savings, this would leave $1,800 after one year that you would put into a CD.
There will be people who say, $1000 or $1,800 a year, isn't a lot. After 3 years, that will have added up to $3,000 or $5,400, respectively. No joke, there are people in the middle-income bracket who earn double to triple what a low-income person makes but have almost no savings.