Rebuilding my credit, I started off with a Bank of America secured card back in January of 2015. Then I went ahead and applied for a JC Penney Card in a store and got approved, for $500. I couldn't believe it. Later in the year, I got approved for a Chase Freedom Card, for $2,200. Just last week, BofA graduated my secured card to unsecured and gave me an $1,800 limit. Then, just yesterday, I found out through a MyFico alert (trust me the $29/month is a good deal if you are rebuilding your credit!) that JC Penney boosted me up to $2000. This was about 6 months after getting the card.
This card has worked for me in my credit rebuilding process. Now my credit utilization is going to drop even further, which only helps your credit score go up. It's a fairly easy card to get, but you might have to have at least one secured card on the record first.
They clearly want me to spend some money! Luckily I see things totally differently then I did years ago when I wrecked my credit.