Well, I hope this doesn’t become a cliched “acceptance of mortality” or “it will only belong to the rich” rant because that’s both boring and a failure of vision.

You've made the right start by noticing there are two options for your move - diagonal or adjacent. And, furthermore, you can only guarantee ever touching three of the four glasses. The interesting thing is that that is enough, not just to get all the glasses the same way eventually, but to do it surprisingly quickly:

No Nicholas Briggs?