@irridium, if I were planting a cherry as new, I'd plant against a wall and fan-train it. It's absolutely the best way to keep it small and in shape, and you can net the whole wall. But that's not that much help! Broadly, pruning a tree to keep it small and make it fruit is a balance. When you lop off whole branches or make dramatic cuts, the tree responds by thinking 'woah! I must really put out some growth next year!" So you often end up with vigorous, whippy growth (watershoots) that may not fruit so well. If you keep lopping the tree back, eventually it'll get tired and suffer or die.
I am not that expert at this! I would always follow the RHS guides (this one, for plums, is the same as for cherries: https://www.rhs.org.uk/fruit/plums/pruning). The key thing is that you want to do it gradually. You want to bring down the fruiting spurs into reach slowly, rather than lopping at it to produce leggy watershoots. As a rule of thumb, you never take off more than 1/3 of a tree's growth in a single pruning.
(Mind you, I have a morello, which I love, and which was trained into an inexpert but much loved fan. Unfortunately, it was trained up a wall where bluetits nested, and one year I acquired a pair of kittens. It was the birds or the tree, so I'm afraid I took a saw to the painstakingly-trained fan and reduced it to two ungainly stumps, cos needs must. It is still alive and actually looks none too shocked, and I took out well over 70% of the whole thing. So, you know ... they are quite hard to kill, cherries.)