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Why not try to graduate the CapOne and CU cards to unsecured before you start apping for new stuff? You may even be able to get a CLI out of the deal as well.
With nothing in bad standing on your CR, aside from the paid baddies....I would just garden for the next 6 months to a year, and after six months of using your credit cards and paying them off....that alone will bring your score up a few points no doubt. Then perhaps try some CLI's on a few of them. Your credit score as of now is better than mine, and I was able to procure a 5K Cash Rewards cc from NFCU.
Seems you're not that far off from the 700 club, and then you can go for bigger fish if needs be. Four CC's is good, albeit the CL's are not as good....if you've already put in decent time with those cards and have a perfect history with them, go for some CLI's now ![]()