Savings may pay you a little interest (very tiny these days of low prime rates, something under 1/2% per year)
If you don't expect to be saving much and need to pay out money, a checking account is still the way yo go, checks can still be used for utility bills, and a debit card generally comes with one, there may be a monthly service fee.
Because you are giving out account information printed on checks a checking account is not as secure from fraud, you don't want your life savings there.
Checking account - until that builds up high enough to warrant a savings account. {You routinely have over (say) $2,000 in the checking account.
P S Look around for a credit union.
You could open both. With a checking account you usually get a debit card so you can buy things in stores or online. With a savings account you might only get a card that can withdraw cash at an ATM.
Neither is better. They are 2 different things.
If you want to set aside money for the future and earn interest open a savings account.
If you want an account to pay your salary into, to be able to draw your day to day cash immediately, perhaps pay some direct deposits then you need a checking account.