Yes, you definitely can. There are lots of general travel cards that work at any store and allow you to accumulate miles while you make your everyday purchases. If you use them for all your purchases, you’ll get tons of miles at the end of the year. For example, the Discover it® Miles gives you 1.5 miles for all purchases and also matches all earned miles at the end of the first year for new cardmembers. That is, if you earn 30,000 miles, you’ll get 60,000 miles! And if you earn more, you’ll also get more. This card can be easily used for Lane Bryant and all other purchases.
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