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Stay away from Credit One! I made that mistake and is still costing me. Im waiting for my others cards to take off and I will close Credit One soon after, definitely before the year to avoid paying the $75.00 annual fee. I recommend to open a secure Discover. You should be able to graduate in 6 months and can presume a solid CC with 1% money back.
If someone can put you on as an AU, I would consider it. That will help your score. I did that for my bf recently and his score jumped 18-20 points. Also, once your score is high enough, apply to a few cards: 2-6 cards. Trust me on this one, all of my scores are sitting around 720 and above. I highly recommend this if you have massive amounts of debt. Personally, I have a mountain of student loan debt and a small percentage of personal debt waiting to be paid off. The credit cards I have acquired over the years have tremendously helped my score. Of course, I have to leave a disclaimer because with lots of credit cards and high limits, you want to be responsible and not rack up debt like it's water. Anyways, get someone to put you on their credit cards, apply to a capital one card and be responsible! Hope this helps.
Get your true FICO scores, and try the pre approval link for Capital One.
I agree with the sentiments on avoiding Credit One. There are easier and cheaper ways to build your scores up.