No credit card required
Browse credit cards from a variety of issuers to see if there's a better card for you.
Unless youre certain that you can get approved, I would go for another secured card or a BOA secured cc. As long as it is paid on time it would be changed after 6mths or so.
The only problem is that youre going to have to wait for the account to age before you gain points you need.
I was trying to get approved for a mortgage and was unable to, until I talked to a broker who had a manual review done and then I was approved.