RaboDirect PRO12 rivals Munster, Premiership outfit Saracens and French side Racing Metro, who Edinburgh beat twice in last year's competition, will provide the test and Bradley can't wait to get going.
"While the odds would suggest that lightning would not strike twice, I know that the 'never say die' attitude of our players won't change," Bradley told The Scotsman.
"We're very proud of what the club and our supporters achieved in last season's Heineken Cup. Our task now is to plan with the same precision our assault on the 2012/13 competition.
"Saracens finished third in the Premiership last season and have an abundance of quality international players, not least Kelly Brown.
"Munster have a fantastic Heineken Cup pedigree. They have won the competition twice before and regard Thomond Park as a fortress and that [Murrayfield win over Racing Metro] was a truly memorable occasion."