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I would wait until your secured credit card has reported six months of activity to the credit bereaus. I would also check your credit reports to make that the negative tax lien and collection have been removed from all 3 CB's. Try to get your score over 655 before you apply. BOA does take consumer banking account balances and account activity into consideration when you apply for a credit card. If you PIF monthly, apply in the branch for the 3-2-1 cash rewards. You get a bonus when you deposit the funds into a BOA deposit account.
bank of america does value relationship.
once your baddies are removed, your scores should go up significantly. once that is done, go ahead and apply for the unsecured version. You should get approved w/o any issues.