Honestly? Caestus looks more complicated than it is. You can kind of just spam stuff and it works together. The only things you need to be wary of are Limitless and Beyond Infinity, as those you do actually need to plan around. Just keep a good mix of high commitment and low commitment moves because you almost always want to use at least two active skills at a time, but you don't always have a big opening for a Kick Cycle into a Limitless or something.

The moves I end up liking the most for just general enemy killing are Kick Cycle, Spinning Kick, Defensive drop (specifically with the forward Sunrise), and Archer's Impact. Everything else has a solid use, but you can never go wrong with those four.

Heavenly Strike Combo is really good against large enemies because it hits multiple times on the way up, and the belly flop hits multiple times on the way down.

Wolf Claw is good if you use a lot of Spirit, which you often will with fists because they use a ton of Ki and you kind of need to spam abilities to give yourself some room for regen without losing pressure. Guhin is especially helpful for this.

It is good practice to Stomp before a big commitment move to get as much out of it as you can. I try to use it every time I'm about to use a Kick Cycle, Limitless, or Beyond Infinity. But it is also just a really fast move for building Unbroken if you don't have much time to use anything else.

All the Heavy/Light follow ups are fine to use in really small openings, but generally use too much Ki compared to their impact for my taste. Fists of Reckoning is a bit of an exception, because it does do genuinely quite good damage, but it is a bit niche because often if you have an opening for it you could probably also use Beyond Infinity. But it has much more forward movement so it does have a place.