Quimbly, there is no inherent reason why you should get into debt more by credit card than by debit card. Just keep an eye on your account -- which you can do online -- and don't change your spending habits. If you're THAT worried then set a credit limit no higher than the amount you would actually want to spend each month.
I've had a credit card for 13 years -- as a student, newly employed bum and responsible pillar of the community -- and I've failed to pay it off in full less than five times in that period. It's not inevitable that you'll get into debt.
Meanwhile, you're missing out on some serious heavyweight protection by not using the credit card.