I would like the story to be more Begins related. Batman Begins was 10 times better than the Dark Knight. The Dark Knight was a fantastic movie and one of the greatest ever. But BB had a much much better story and the film (cinematography, the feel) was just executed a lot better. I think a lot of people overlook BB and just say, "OH DARK KNIGHT IS THE BEST EVER, HEATH IS THE ^^^^ AND OMG TWO FACE AND THE STORY". People need to go back and watch BB again, it is hard to describe what it is but that film is a real masterpiece and should be getting more credit than it has been getting.
maybe for bat-fans Begins is better, but when focused on mainstream public TDK had to be what is was: bigger, more twists, more action...those elements make it more attractive for non- or the not so bat-fans...
personally I see TDK as a perfect supplement to Begins.
Apart from begins TDK was a very good batman movie, action movie, thriller, suspenses movie, even drama movie and crime-movie.
Begins was a very good Batman-movie with some nice action, but that's it.
+ Begins DID get the credit it deserves, much more than non batfans would admit