Credit cards are definitely better than debit cards if you can manage your spending well. The biggest reason for me is that credit cards offer better fraud protection. Say your debit card gets stolen, they can clean out your entire bank account and suddenly you have no money. It will take time for the bank to reverse these charges, meanwhile you have no way to buy necessities. With credit it's not your money and the credit card companies are insured and deal with this stuff daily. You also still have money in your bank account for necessities.

You absolutely have to be careful with credit though, especially if you aren't good at budgeting. It's not free money and will charge interest if not paid off each month, but if you can use it responsibly you can take advantage of the perks, like cash back, points and whatever else they offer.

What I personally do is only use credit cards, I have certain ones that offer the best perks for certain purchases and pay them off in full every month at minimum. You can set them up to be very similar to a debit card and monitor your spending so you don't build up too much debt. It boils down to whether or not you can trust yourself to be vigilant in sticking to a budget.