I will tell you a coupled of things that I have discovered.
If you have chase cards already, then go ahead and apply. If you don't receive an automatice approval, then pick up the phone and call the chase reconsideration line (just google it). They will see if you can qualify.
For me, I already had 3 chase cards with high limits, so they approved a personal and a business southwest card for me (can you say 100,000 miles please) by moving my other approved credit amounts around. Fine by me, since I don't plan on using that $60,000 worth of credit anyhow.
In addition, I plan on moving 10,000 points over to my southwest rapid rewards account from my Marriott card, and then I will earn the companion pass, which means that I can book travel with my awards for myself and then have a companion travel with me for free (well there are some taxes that have to be paid). And that benefit will last until Dec 31st, 2013. Seriously! That is a huge score! Hubby currently has a personal with the 50,000 miles and I am trying to get him to get a business account and do the same thing. Then the whole family can travel for free for a few trips, and half price for a few more. I can put up with a few seat grabbing issues.
And I used the above links to apply and they worked like a charm. The business application is at the bottom of the page.
Good Luck!