No credit card required
Browse credit cards from a variety of issuers to see if there's a better card for you.
Don't worry about the pull. You already had a bunch. In this case, the pull was well spent.
Once you have the Discover card in hand, ditch Credit One. You'll be nicely set with three good cards. Then garden for a year. That'll make all of your inquiries unscorable, and I'd guess that some would become old enough to fall off.
My Discover secured card (with a $1,000 collateral) graduated 2 days after the 7th statement, and I only found out because the credit line was suddenly $1,800 and the menu to add co-signers was active (I do not intend to do so but that is a message).
I did not get any message from Discover nor any other information - it is just that the term "Secured" suddenly disappeared everywhere.
I do not even know how they will pay me back the collateral. ACH? Check?
Discover secured cards DO graduate. And I have scores now on three agencies. It was a really good way to start US credit history. I will wait another 6-10 months to try a MasterCard or Visa (as visiting my parents in Europe with Discover will be a pain, but my Checkings account Mastercard Debit card will work on the European ATM networks).
You really can't go wrong with Discover. The fact that even as a secured card you still get the benefit of the cashback and the first year match, as well as being able to convert it to the 5% rotating categories is amazing, paired with the fact that graduation is a possibility after seven statements. You can start with the lowest deposit for you CL and call to increase it as you'd like, which is a plus so your limit is higher when you do graduate in the event they dont auto cli you (once you add additional funds, it takes about a week to process on their end and bump your cl up).
From my graduation success with Discover - what I did
1. I used the card for everyday purchases and for flight bookings
2. As the more expensive stuff brought me to 90% credit utilization I immediately did an online payment as soon as it posted to get back to a low rate again.
3. I used the Discover card for everything on the net and at cash registers - and I always invoked a payment if it was more than 30% of the credit line and I paid attention to have at least 4 days between two payments (otherwise Discover will withhold the payment for some days).
The 4-5 payments in a month to bring utilization back to normal were apparently not seen as negative.