John Kells would often say that moving the Body as one unit was a key principle.
If nothing else, remember to move the body as one unit, he would say.
So what do you do? This is probably where it all gets complicated and it ends up like the old joke of how many tai chi instructors does it take to change a lightbulb. The answer, of course, is 9. 1 to actually change the lightbulb and the other 8 to comment " hmm, that's nice but my style does it correctly".
There are some simple things to focus on that might help.
You can visualise the nose and navel moving together.
You can think of your lower belly as a camera lens, pointing in the direction you want to go.
John at one point visualised a pole coming up from his belly in front of his chest and used that to turn around.
There must be many other images that one could use. Try one of the above to see if it is useful.