Most student credit cards are designed for students with no credit history, but your situation is different. I can advise you to look into bad credit cards and secured cards categories.
Make sure you understand the terms of the card and use it wisely. Paying off your balance and never using more than 7-10% of your credit limit will help you to grow your credit score much faster.
Here are several handpicked decent options for you to consider:
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See if you Pre-Qualify without harming your credit score
1% cash back on gas & groceries, terms apply
This is a fully unsecured credit card with no deposit requirement
$25 annual fee
$0 first-year fee
reports to credit agencies
24 days grace period
unsecured card offer after 12 months
Obviously, you should pay all bills on time. Every time.