Seeking retaliation for Ivy's manipulation, Catwoman offers information on her whereabouts to Batman in exchange for a kiss and a tenuous romance blooms between them. Batman and Catwoman follow Poison Ivy to Metropolis. Batman finds Lex Luthor, now a probationary member of the Justice League, and asks for information on a delivery list of an ethylene compound to track down Ivy's location. There they find Ivy has taken control of Superman and she commands the Man of Steel to kill Batman and Catwoman. Batman observes that Superman is subconsciously resisting Ivy's influence, holding back on his attempts to kill both of them. Using knuckledusters made from Kryptonite, Batman stalls Superman while Catwoman lets Lois Lane fall from the Daily Planet building. Superman breaks free of Ivy's control to save Lois. Batman, Superman, and Catwoman work together to capture Ivy, who reveals that she was being manipulated by a mysterious foe called Hush.
The famous Bronze Age Batman costume is a lot like the Golden Age costume in the sense that neither of them were technically what you would call "new" costumes. However, they so drastically altered the look of Batman's costume from what came before that it would be ridiculous not to consider them costume changes. When Neal Adams began drawing Batman in the early 1970s, the costume he was drawing was ostensibly the "New Look" costume, but Neal Adams streamlined the costume dramatically.
The armor was a bit odd looking, but it is worth noting that designer Greg Capullo almost assuredly had that in mind, as the armor is supposed to look sort of alien-looking. It's supposed to be jarring to see. In addition, the comics with the armor in them even hung a lantern on the whole "rabbit ears" look, as Gordon himself commented that they looked like rabbit ears to him.
Natalya Trusevich: A Ukrainian concert pianist and girlfriend of Bruce Wayne, Natalya grew frustrated with Bruce's closed-off demeanour, until he was urged by Alfred to reveal to her his secret identity. Shortly after, Natalya was abducted by the Mad Hatter who attempted to torture her into revealing the identity of Batman. Natalya refused to divulge Bruce's secret and was thrown by the Mad Hatter from a helicopter to her death.