Everton have shown all season that they can compete with the best the Premier League has to offer, with the exception of Chelsea. We've 'peaked' all season, we haven't dropped out of the top four since September.
Moyes has plenty of pulling power, don't kid yourself. He'll get Manager of the Year for sure, and has a great reputation for being a fair manager and one of the best up and coming managers in the game. He has for a long time been linked to the Man Utd hot-seat, but he'll be staying.
We'll have money to spend, we have some of the best players in the Premier League playing for us in the shape of Tim Cahill, Mikel Arteta (most would disagree, but just look at their performances - Cahill - 12 goals in first season from midfield) and we will be in the Champions League; which is more than Liverpool, Newcastle, Middlesbrough, Tottenham and all of the other so-called big guns in the Premier League will be able to boast about.
All in all, I think that's plenty of pulling power, although if you'd rather join a team with Biscan, Traore, Dudek, Kirkland, Pellegrino, Morientes and with a reputation for buying heavily every summer to replace expensive flops then obviously that'd be the players choice..!