If you have never had bankruptcy, you can try getting the Credit One Bank Visa card. The card comes with pre-qualification allowing you to pre-qualify for it without affecting your credit score. Before you apply, make sure you do not have recent late payments on your current credit accounts. Late payment may lower your chances to qualify for any credit card.
Another option for you can be a secured credit card. Secured cards are designed for people with bad or no credit, so your chances to qualify will be rather high. Secured cards require a security deposit. The minimum security deposit is usually around $200. Your credit card payment activity will be reported to the major credit bureaus monthly which will allow you to build your credit.