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Browse credit cards from a variety of issuers to see if there's a better card for you.
While rebuilding, don't get too obsessive about getting prime cards. Just work with what you have. Think of it as if you're gardening right now for the future. I made a mistake during my rebuilding days when I apped for too many rebuilding and store cards Now even though my scores are decent, I still can't get in with any prime lenders because of too many recent accounts opened or too many inquiries.
Quit applying for cards.
Use your cards and pay them off ASAP.
Your scores will increase with time.
DON'T WORK FOR CREDIT CARDS ... MAKE CREDIT CARDS WORK FOR YOU!
I like to think of it as a child playing soccer. The child might be really good at soccer, and want to play professional soccer, but it just isn't gonna happen until they age. However, An older person who never played/practiced soccer isn't going to be able to become a professional either.
It sounds like your building a strong foundation. All you need is a little time to grow. Patience is sadly needed.