re: Airlines credit cards: Delta, American or Southwest??

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I would like to earn some travel or airlines miles

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The better question is which airline will you be flying the most.

That can break down into further questions.

Which Airline do you like the best?
Which Airline's fly out of your local airport?
Of the Airline's that fly out of your local airport, which service the destinations you are most likely to travel to.

Consider do they have flights straight through or will you have to take connections each time.

The answer to the above questions will help you out more in determining the card you want than which offers 2% rather than 3%