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Have you checked to see if Citi will do a product change? If they would allow you to do so, you would be able to keep all of the old history while having a credit card that earns some rewards. If they allow it, the double cash would probably be the best choice. With a PC you normally do not get a sign up bonus.
You should be able to product change your card to a Double Cash without opening a new account. Just call and ask what your product change options are. Typically Citi is amenable to doing it after the account is a year old.
I was able to do a quick, and easy PC from DP to DC via secure message around I believe the begining of this year. The DC retained the DP account age and credit limit.
This is one of the benifits of getting the Diamond vs the Simplicity... Its very easy to Product Change to a Double Cash.. Which I think would be a more usable and better card option for you.....
Basically repeating what others have already chimed in....
-J
Agreed with the other posters - keep it and PC it to a Double Cash. From experience, it's quick and easy and they'll even let you carry over your promotional APR assuming you have already accepted it. Citi seems to be forgiving to most people that haven't burned them in BK, so just keep going for those SP CLIs every 6 months.