The simple answer to that seems to be to not move to working on tablets. For LaTeX editing, I can't see any advantage that a tablet would offer over a notebook, and there are a lot of disadvantages.
He does not compare the tablet with a notebook for the use case of interest here, writing TeX documents (or something similar), and the disadvantes for notebooks that he gives would seem to prevent you from working with a tablet too (e.g., using a remote server for compilation will also help with the battery life of a netbook, and you may even be able to swap the battery).
The major problem in writing TeX on a tablet seems to be the keyboard: It takes away screen space (which is already hard to come by, since ideally you would have the source and the compiled output displayed side-by-side), is much less convenient to use than a physical keyboard, and (usually) makes it more difficult to get to special characters which are really important for TeX: \, {, }, [, ], and so on.
I can see how it could be usable for copy-editing, but for longer writing a notebook beats a tablet any day.