For our family we just got the Chase Freedom card. There are several offers out there for this one, but the best I have seen is an offer on bradsdeals. I can't post the link because I am still too new here, but if you go to the site and search chase freedom it should come up.
Anyway, it has a $300 sign up bonus after you make $500 in purchases within the first 3 months. The interest rate isn't good, so I would only get this card if you pay off balances in full each month. It also offers 1% cashback (same as Disney) on all purchases and 5% back on select categories every quarter. This quarter it is department stores, dining out, and I forget what else. Next quarter is gas and amazon.com purchases.
We decided to keep our disney card open so we can have the option of no interest financing for a Disney vacation, and also for the discounts at
Disneystore.
Also, if you get the Chase freedom card under the same social security number as your disney card the billing will all be on the same screen. For us it works because it is one less place to have to go to pay bills.
Be aware that you can only get one new Chase credit card every 3 months, but it sounds like you have had your Disney one for a while so you should be fine.