Display lunar calendar in your notification center. By installing this app, you can simply drag down your notification center and the whole calendar which display both solar and lunar date will be right there for you. You can simply swipe left or right to navigate between days/weeks/months.
Now you can go to specific date by using date selector. Long press the calendar view, the date selector will show up, and you can go chosing the date you want. See instruction in preference panel for more information.
Chinese festivals and solar terms can be displayed in the calendar. You can show or hide festivals and solar terms in “中国农历” panel in system Settings app.