These classes are to report some behavior aspects of a dependency property.
Check the different classes for the options they provide.
For example,
if you just want to back a property by dp and provide a default value, use PropertyMetadata,
if you want to specify animation behavior, use UIPropertyMetadata,
but if some property affects wpf framework level stuffs eg element layout, parent layout or databinding, use FrameworkPropertyMetadata.
Details you can check on msdn http://msdn.microsoft.com/en-us/library/ms751554.aspx