Get a debit card with your bank. I doubt you have a job that gives you money to pay off bills. Debit card is much safer because you will only spend what you have, not what you dont have - which can be dangerous at your age. Now is definately not the time to start off with bad credit...
If you feel you are responsible, get a Credit Card from your bank. This will make it easy to pay the bills as you can arrange for them to take it out of your savings/checkings.
After you get at least the bank credit card, you can then with ease, get a Banana Republic card (good at old navy and gap), if you shop at these places. Since these credit cards are restrictive on where you spend your credit, its difficult to overspend on other things.
If it was my advice, i would go with debit card, and when you graduate from college/get a job, get a bank credit card in addition. Then go on to other credit cards with benefits you USE.