No credit card required
Browse credit cards from a variety of issuers to see if there's a better card for you.
It's fairly frequently mentioned around here.
Only suggestion I have is to get your reported utilization as low as possible just prior to applying.
I am very satisfied with my chase freedom. When I applied though my utl was around 10% but a much shorter history then you as well. As for your scores you're okay. Have you tried using the pre-approval links for these cards to see what offers you get?