Expression Studio (Specifically the Expression Blend portion) is geared toward the GUI creation. The interface in Blend allows for more rapid creation of the more sophisticated elements in WPF/XAML than Visual Studio does. And allows for easier creation of design time data, and databinding elements.
In Visual Studio, you can create the exact same interface, but much much more of it will have to be hand coded. What Visual Studio does do better is the code-behind and logic/CLR elements that support the program you are writing.
If you concern yourself with the GUI, I would say use Blend. If you concern yourself with the plumbing of the program, I would say use Visual Studio. If you do both, then use both. I use both when I am writing my stuff (i am a bit of a one man show) and it works out pretty well.