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%

I fly southwest once or twice a month. Very well priced, and a well ran organization. Rapid rewards are good and offer nice perks too.

I would get a Chase Sapphire Preferred or American Express Gold Rewards card. You can redeem their points (miles) for a lot of different airlines.

The American Express card gives 3X points for airline tickets, 2X for gas and 2X for groceries. It is the card I use the most for rewards points.
They run promotions throughout the year with several airlines and you get a bonus to your miles when you convert. For instance, there is currently a 30% bonus when converting points to Virgin Atlantic. I prefer the British Airways Avios so I am waiting for that promotion and they are extremely flexible miles to use and give a terrific return when used to fly American Airlines domestically.

Next in line for useage for me is the Citi AAdvantage World Traveler Platinum Mastercard.

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Which card has the best options?

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I'd look at where you anticipate flying to. I got a Delta card when I was living in the ATL but I rarely fly Delta anymore now that I'm back in BR because flying through Atlanta only makes sense if I'm going east. Flying any other direction using an airline with a hub in Texas usually makes the most sense. There are also cards like the Capital One Venture card that lets you use any airline.