From the games I've watched so far, I think it's going to be a battle between Chelsea and Man City.
Pep's impact on City is already being felt, been very impressed by their play collectively. Many of their players have been impressive, Silva, De Bruyne, Stones, Fernandinho and of course Aguero. Conte has also done a very good job so far with Chelsea and I expect them to be contenders.
As for Man U, they may end up top 4, but I don't think they'll challenge the top 2. Their players are not a fit for the system they're playing. Pogba is not going to succeed in a deep role, he's best used in a 4-3-3, I said it earlier and it's looking more and more true. Mkhi also is not a natural winger and will be a failed signature, he's best used in Rooney's role. Same with Mata. And on the left side they have 3 young and still inconsistent players.
Liverpool have the potential to mix things up if they can fix their defensive play and show more consistency. Been very impressed by them offensively, and they'll surely do some damage if Sturridge finally stays healthy.
Arsenal is Arsenal, no expectation for them. They'll be right there once again but not good enough to challenge for the title. As for Tottenham and Leicester I think they'll both struggle and fail to finish top 4. I think Leicester will finish mid table.