Yes, DateTimePicker control can handle DoubleClick event.

To get date from DateTimePicker control, use Value property.

Because MonthCalendar control allows you to select more than one date, use DateChanged and DateSelected events. They are raised when user changes current dates selection or when user selects new date range respectively. Both events pass as "e" argument DateRangeEventArgs class, which gives you start and end date of the new user selection.