It will again be a race between the big three - ******** Man U and Chelsea. Liverpool *might* challenge also.
Of the three, Chelsea's is easily the strongest squad. Their "B" team would probably also challenge for the Premiership Title. However their "A" team is probably slightly worse than both ******* and ManU.
******* were simply awesome last season. It does very much depend on whether Vieria stays or goes I would say. With Vieria I think they would win again, without, I think they would be less dominant, and Pires and Henry might also consider leaving or sulk.
ManU are struggling for the first month or two of the season due to injuries and suspensions, so I suspect they might lose a lot of early ground. I expect them to come back very strong from November though, when Ferdinand is back, Van Nist is recovered and Ronaldo has had a chance to get over his busy summer.
Tough one to call this year, lots of ifs, buts, depends and maybes. The team that I think will be overall most successful, including the Champions League and FA cup, will probably be Chelsea due to having the strongest squad.