For the spend you mention you don't want a card with an annual fee, and anything with an in house rewards program you probably will never get enough points for anything so I would suggest either one of the following no-annual fee airline cards, or a no annual fee cashback card.

AirTran A+ Visa
AAdvantage Bronze Mastercard
China Airlines Platinum Mastercard
Frontier Platinum Mastercard
Icelandair No Annual Fee Mastercard
Korean Air Skyblue Visa
Midwest Airlines Platinum Mastercard
United Gold Visa
US Airways World Mastercard

Links to all at http://rewardsdb.com/CC-Airline-US.php

+ Aer Lingus Mastercard http://aerlingusrewards.com/

Obviously it depends on where you are moving, what banks you use, and what airlines you fly. The easiest would be to switch to the AA Bronze card since its the same bank and would let you keep your AA balance alive for those times you need to fly on AA or its partners.