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Newbie it's up to you in the end but discover is great to be with secured or not it's a great card. You can start as little as $200 or as high as $2,500 (keep in mind if and when it graduates that's your starting limit +\- possible CLI YMMV).
As as far as hard pull even if I knew for sure (I don't) I'd advise to call in anyway. They've always been helpful IMO and it never hurts to ask. EVER.
With that said, just checking Amex prequal won't hurt either and they pull Experian and typically (unless you are a DP wave maker) only pull Ex. Whatever your decision, best of luck and keep us posted!
-B
You should be in the clear (from past experience) if you made it to banking verification and no recent credit alerts but fingers crossed and sending the kudos vibes your way good luck!