With an established credit profile I would agree that Citi is your best bet. They tend to give CL's in the neighborhood of what you already have or sometimes better. (I had two cards @ 10K+, they gave me 11K out the gate.) And they will up your CL at 6 months even if you are carrying a balance. I was at 35% utilization on their card and got a $1200 increase.
I chose the Diamond Preferred because that is what they mailed me an offer on and I am more concerned with after promotional interest rates than rewards. But check out their cards and you should find one to meet your needs. You may also want to consider just using them to Balance Transfer your current debt and make your purchases on the other cards. They keep sending me new BT offers even though I am still in the promotional period since opening.
