Kyrie played 2 regular season games against NY last season with Rose starting, and logged:
* 29 points on 54% shooting
* 23 points on 56% shooting
He played 4 regular season games against Boston last season with Isaiah starting, and logged:
* 23 points on 50% shooting
* 32 points on 71% shooting
* 28 points on 53% shooting
* 19 points on 39% shooting
Based on this history against Rose and Isaiah, plus the increased role he's likely to get in Boston, I expect Kyrie will have some very nice (and quite efficient) offensive nights aginst Cleveland this season.
In game 1 Cleveland will have a pretty poor defensive player (in Rose) trying to fit in to a defensive system he's not familiar with, on a team that's not especially great defensively to begin with. This means Rose's already poor defence should be even worse then normal.
Kyrie on the other hand will be coming in as the #1 option (for the first time since he was 21 years old in his 3rd season) so he should get more touches then ever. He also has a lot more to prove then Rose does.
We also know for fact that Kyrie to perform on the big stage, and the stage doesn't get much brighter then opening night, #1 seed vs #2 seed, Celtics vs Cavs, Kyrie vs Lebron.
I'm going to predict he dominates his matchup against Rose on opening night, putting up 33 points, on 54% shooting and leads Boston to a win over the IT-less Cavs.