I've been looking a long time for an inexpensive implementation for private Kanban and was tempted himself to write me a, as in blew a review on Trello. (See [...])
Trello offers everything you need to begin with private Kanban.
I had already run on PC, Kindle Fire HDX7, Kindle Fire, Android Kitkat (Sony Xperia Z). Meisst I use, however, the PC web interface.
What I would like to see more, user-defined properties were (UDPs), such as estimated cost, actual cost, task category, etc. It would be nice also to export to XML the data possibly prepare for a report.
Just try!