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The first thing you want to do is get a genuine FICO score to see where you stand. Credit Karma scores are not FICO scores and are not meaningful. The best way you can get one for free and super fast is at creditscorecard.com, which is offered by Discover to everyone even if you don't have a Discover card. That will be your EX FICO 08 score. If you're interested in your EQ and TU FICO 08 scores as well, you can grab those at Credit Check Total for $1 along with the EX FICO 08 score you already got from creditscorecard. Please report back your FICO score once you get it and we'll take it from there!
Nice job getting that EX score. It's good to know where you stand at 660 and you can go back every 30 days and refresh that score. The biggest thing holding you back is going to be that one negative item you referenced in the original post. I'd contact the creditor and see what you can do to get it removed via goodwill. Basically, you just want to apologize and ask them to remove it as a one-time gesture of goodwill. You can try this via phone, snail mail, email, etc. Getting rid of a lone negative item can raise your FICO scores 60-80 points, which of course would be huge for you.
Outside of that, you're in a good place with 3 cards and 1 loan. Just sit on those and let everything grow. When the time comes that you can unsecure the cards you can do so. Definitely don't close them. Once they are unsecured you may be able to product change them to a different card offering that better suits your wallet. In the meantime just use them and pay them off in full every month. For maximum scoring benefit, allow 2 out of 3 of your cards to report a $0 balance every cycle, while the 3rd reports a small balance. "Small" means 8.9% or less of the credit limit. On a $200 limit card, that's a pretty small balance, which may be difficult to do at times depending on how your spend goes. I'd suggest using your Chase card, as with a > $3k limit you could let a couple hundred bucks report on there and you'd still be at 8.9% or less.