If you look at the Javadoc for the Date class, it will tell you what is recommended instead.
Joined: Mar 22, 2005
It works just fine. Unless you need timezone support (which the Date class does not have), you can use the deprecated Date methods with no problems - they're not broken in the way other deprecated methods and classes are.
Joined: Jan 25, 2006
You are much better off using the Calendar Class as most of the Date class has been deprecated.
//gets the current date Calendar rightNow = Calendar.getInstance();