I just checked the fixture. The opening week is actually pretty good. Arsenal will play away game with Manchester United. It'll be a good test right at the start of the season. Arsenal have been dominating Manchester United for quite some time. Last season Manchester United were already very poor. They lost almost half of their matches. This time they'll want to start with a clean slate.
I think Manchester City will beat Wolverhampton easily. Spurs will also win probably. As for Liverpool and Chelsea, I'm not so sure though.
Arsenal playing against Manchester United is a good test, though Arsenal has better chances of winning the game because they have always had better performance.
But if Manchester United is able to play tough against Arsenal, and even if they don't win the game, it is a good test to show that Manchester United's performance might be different this season. I just hope Manchester United makes the game interesting.