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What other cards do you have, what are their limits, and how long have you had them? That information would likely help determine the best route to take.
I would go for it.
I think you're in good shape to apply for a Discover secured card right now. Or you'd be in good shape to apply for an unsecured Discover once your accounts age a few months. They're both good options. You can't go wrong either way.
I woudn't mess with any other secured cards, though. Your current cards will put you in the position for plenty of good products soon enough. Discover is an exception because it's the best of the bunch.