The question of "optimal" pruning of tomatoes is rife with contradictory opinions. Sometimes even contradictory facts! What is provably true for one variety, may be totally opposite for another variety. I am sharing what I have learned from a decade of growing in my AeroGardens, and extensive reading from Universities and agricultural services. But by all means, do your own research too! Try different methods on your own plants. There are lots and lots of variables that can affect your personal results.
Before we get to specifics, a bit on the overall pruning theory.
One of the important things to remember, is that most tomato pruning advice out there is for indeterminate varieties, as that is the vast majority of "regular garden" tomatoes. However, nearly all varieties that are suitable for growing in hydroponics in general, and AeroGardens specifically, are determinate simply by virtue of being microdwarfs. To my knowledge, all microdwarfs are determinate - otherwise they would just keep growing and no longer be able to be considered a microdwarf. This requires a different approach to pruning than your typical garden tomato.
(As with all pruning, be sure to use clean, preferably sterilized, sharp cutting implements. I use embroidery scissors, as they get into tight spaces better than anything else I've found. I keep a set specifically for plant pruning, as using them for general purposes can leave the blades with nicks and dull spots.)