Edinburgh meanwhile, kicked off their campaign with a 23-18 loss at Murrayfield to Munster and Bradley is well-aware of the challenge his team face to record their first success of the season.
He said: "There's a lot of confidence in our side at the moment. We're bitterly disappointed with our result against Munster because we had the game there for the winning.
"Even though it was a quality game of rugby we still should have won it because we had plenty of opportunities. We must learn to cope with that pressure and expectation and that will be the test for us this season.
"But we know how tough this is going to be. I was talking at the RaboDirect PRO12 launch to Phil Davies and he was excited about it because it's his first competitive home match, so it's going to be a big day for Cardiff. They're bringing back all their internationals and are expecting a day of celebration."
"We're very much aware of that but we performed to a reasonable level against Munster and now have to pick up on that, and this is a great opportunity for us to get the points back that we consider we lost last week.
"Cardiff are one of those sides who will be challenging for the top four, so if we can get the win it will be welcome in terms of what we're trying to do down there."