I agree with a chase sapphire card.
You should also use the card to purchase your washer/dryer from the chase UR shopping mall or united online shopping portal (Under earn award miles on united's website).
Sears was recently offering 8 miles/dollar for purchases and I picked a new washer/dryer. At $1500 purchase price thats 1500 miles from chase and 12,000 miles from the shopping mall. Miles can add up real fast when you have purchases like that.