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.
Liverpool will start their title defence on Friday against FC Bournemouth and that game will the opening game of the new season. Yeah, Arsenal in recent years has been ahead of Manchester United when they meet and again it will seem like Arsenal will still win against Manchester United but at the same time Arsenal shouldn't underestimate Manchester United in that very match.