Move to another Viewcontroller via RightBarButtonItem

I have the following situation:

I have created a rightBarButtonItem in my viewDidLoad:

self.navigationItem.rightBarButtonItem = UIBarButtonItem.init(title: "New", style: .Plain, target: self, action: "newProject")

My question is, how can I move through tapping this button programmatically to another Viewcontroller, using the segue "show (e.g push)".

I have the beginning like this:

func newProject() {

}

But I don't know further, because I'm a beginner in Swift.

Any help would be really appreciated!

Update:

So, this is the whole area, where the error appears:

class NewProject: UIViewController, UITextFieldDelegate, UITextViewDelegate, CustomPickerDelegate {

    @IBOutlet weak var txtProjectName: UITextField!
    @IBOutlet weak var tvDescription: UITextView!
    @IBOutlet weak var txtStartDate: UITextField!
    @IBOutlet weak var txtEndDate: UITextField!

    var hud: MBProgressHUD?
    var customPicker: CustomPickerView?
    var dictProject: NSDictionary!
    var projectID: String!

    override func viewDidLoad() {
        super.viewDidLoad()

        self.navigationItem.title = "Create new Project"
        self.hud = MBProgressHUD(view: self.view)
        self.view.addSubview(self.hud!)
        self.projectID = ("\(self.dictProject!["id"]!)")
        self.populateFields()
    }
    func populateFields() {
        if nil != self.dictProject!["name"] {
            self.txtProjectName.text = self.dictProject!["name"] as? String
        }

    }

And the error appears on this line here:

self.projectID = ("\(self.dictProject!["id"]!)")

And this line here:

    if nil != self.dictProject!["name"] {

Give your segue an identifier in the storyboard (i.e. "NewProject") and then perform it like this:

func newProject() {
    performSegueWithIdentifier("NewProject", sender: self)
}