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assuming your FICO's are above 650, go ahead and apply for the green or gold i would suggest PRG all charge cards have basicly the same underwriting, and the PRG has no fee for the first year and decent rewards, applying by the end of the year, locks in 2013 as your membership year, If your EX fico is around the 720 range go ahead and apply for the Delta card, but if approved for the first card wait till at least january to apply for the second, your second card will appear on your credit report as 10-11 months older than your first thanks to backdating goodness.
if all the baddies are 5-6 years old you stand a decent chance for a charge card, they have low underwriting standards because its only a 30 day loan, and they can monitor and change your internal limit at any time. I got my AMEX charge card with a judgement still reporting it was about 5 years old at the time, if all else is good 5 year old baddies aren't going to effect you much, and its not a BK, i would try before the end of the year, getting your membership year set is very helpful and you will be on AMEX radar, even if you barely get the charge, in 6 months they may give you a revolver like delta even with a sub-par score and once you are in with AMEX, APs are only a SP unless you are approved.
you want to AP for the AMEX preffered gold, first year AF is waived, after the year is up you can PC to the green or senior green ( not related to age) or Gold when the AF on the PRG is due.