The recommended run setup is an Android tablet, however it would also run on small devices.
To convert the game, you need WCH 1.4 and CaesarIII-winulator-profile-1.zip, as described in the Docs. I've posted a video on YouTube to better illustrate:
Also, I've added another video to show additional game play, demonstrating the control widgets:
You'd get updates from Google Play, only to the app itself, and it would require no hassle - I estimate that you would only need to convert the game once, unless I correct some conversion bugs (in that case, a new WCH version will be released).
It would be nice to get feedback, and for those of you who like to post videos - to see videos of people running Caesar III.