Enum within an enum

This isn't a matter of me being stuck, but rather I'm looking for a tidy way to write my code.

Essentially, I'm writing an event driven application. The user triggers an event, the event gets sent to the appropriate objects, and the objects handle the events. Now I'm working on writing the even handler methods, and I was hoping to use switch statements to determine how to handle the event. Right now whilst I'm working on the general structure, the event class is really simple:

public class Event {

    public static enum Action {
        MOVE, FOO, BAR
    }
    
    private Action action;
    private int duration;

    public Event(Action action, int duration) {
        this.action = action;
        this.duration = duration;
    }

    public Action getAction() {
        return action;
    }

    public int getDuration() {
        return duration;
    }

Then, in another class, I'll have something like:

public void handleEvent(Event evt) {    
    switch(Event.getAction()) {
        case MOVE: doSomething(); break;
        case FOO:  doSomething(); break;
        case BAR:  doSomething(); break;
        default: break; 
    }
}

What I would like to do is something like this (though I would of course stick the switch statements into their own functions to avoid it turning into a nasty hairball of switches and cases):

public void handleEvent(Event evt) {    
    switch(Event.getAction()) {
        case MOVE: switch(Event.getAction()) {
                       case UP:    break;
                       case DOWN:  break;
                       case LEFT:  break;
                       case RIGHT: break;
                   }
        case FOO:  break;
        case BAR:  break;
        default:   break; 
    }
}

So, I'd want to create nested enums... like so:

public static enum Action {
    public enum MOVE {UP, DOWN, LEFT, RIGHT}, FOO, BAR
}

It's not like I can't avoid the scenario, it would just be... convenient. So whilst the above doesn't actually work, is there some similar method to achieve this? It would be nice if I could send an event with the action "MOVE.UP", and the method would identify it first as an action of type MOVE, and then further identify that it is specifically in the UP direction. That's just a simple example, it would be great if I could also make longer chains, something like "DELETE.PAGE1.PARAGRAPH2.SENTENCE2.WORD11.LETTER3". The way I see it, I'm just going to have to use Strings and lots of if/else statements. Hoping there's a better way! (Oh, and performance matters in my case, if that helps)

Perhaps use an inheritance hierarchy for the Events?

So you have:

- abstract Event
-- MoveEvent(Direction)
-- FooEvent()
-- BarEvent()

It may make more sense to have:

- abstract Event
-- abstract MoveEvent
--- MoveUpEvent
--- MoveDownEvent
--- MoveRightEvent
--- MoveLeftEvent
-- FooEvent
-- BarEvent

If all the Move events have a distance, then pass that into the MoveEvent constructor (which will ripple down).