As a Superman fan myself, I was happy with the first image of Cavill in the suit, it pleased many comic book fans. Since I'm not as big a Batman fan, I don't know what to say about this.
Personally I felt the Man of Steel suit was a great modern take on the suit but still traditional and true to the classic at the same time as well as Cavill's look and physique.
I was expecting something more classic with the Batman suit, something near perfection. Keaton and Kilmer looked like badass killers in the masks, and Bale looked decent enough, didn't care for the ears though.
But if I'm seeing the definite Superman with Batman, it should be the definite Batman look, not an alternate look.
Not saying he should have the bullseye logo, but this Bat logo looks awfully big and doesn't look the coolest or even tops Nolan's bat logo. As for the mask, I think he looks okay but I think it could look a little cooler.
At least this is true to the comics, but there are so many different takes on the Bat costume. Still, I was hoping for something traditional and classic, but modernized too.
A perfect example would be Arkham Ayslum or Arkham origins. I love those suits so much.