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.
Manchester United against Arsenal should be a draw result in my opinion. The last six months been used to gather enough information for the new season. I don't really care about the first five games we play, I just want to see us in the top four at the end of the season. I'm also looking up to the game between Crystal Palace and Chelsea. They should be fatigued enough to let Chelsea cruise pass them in my opinion.