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Since you do not fly with Southwest Airlines often, we would not recommend you applying for its credit card. The reasoning is simple: biggest rewards (2 points per $1) are earned on Southwest purchases and on purchases with some partners only. All other purchases earn only basic rewards - 1 point per dollar spent. Plus, Southwest cards have annual fees. Instead of having a credit card with an annual fee that earns little rewards, you may want to have a no annual fee credit card that earns equal rewards everywhere. Regular travel rewards credit cards are such cards. For example, the Discover it® Miles has no annual fee and gives 1.5 miles for every $1 spent on purchases. Also, in addition to good earning potential, travel rewards credit cards offer almost unlimited redemption opportunities as you are allowed to redeem earned miles or points for any airline ticket or travel costs. On the Southwest card miles expire in 24 months of inactivity, so if you don't complete any flights with Southwest within 2 years, you may lose your miles. On Discover, however, you may enjoy infinite miles as they never expire.
Besides, all the miles you've earned during the first year of using the Discover it® Miles card, are matched at the end of the year (provided you are a new cardmember). For example, if you've earned 35,000 miles, you'll get 70,000 miles.
The Discover it® Miles also doesn't have the annual fee, so you'll lose none of your miles to the annual payments. And last but not least, it is perfect for major purchases as it has 15 months of 0% intro APR period on purchases. For example, you can go on holiday and pay it off for over 1 year. Note that when the introductory interest rate is over, the ongoing APR of 17.24% - 28.24% Variable APR will apply.