When I warm up before schooling a horse on the flat, I tend to do it in stages.
First, if I have the opportunity (say it isn’t freezing out, or pouring, and I have a place to do it), I go for about a 15-20 minute walk, loose-ish rein, just to let him/her move.
Then I trot, again, long-ish reins, canter up off his back, get him thinking forward and letting him put his head pretty much wherever he wants to, and then let him walk a bit before starting, as quietly as I can, to “put him on the aids.”
By this point I may have been on him 25 to as much as 35 minutes—a long, slow warm-up. I didn’t used to do this. I would come to the work area, walk around for the obligatory 4.963 minutes, pick up the reins and ask him to get to work.
The slower way is better. Better for his mind, better for the elasticity of his body, better in 101 ways. He does’t assume that the moment I sit on him that it’s “grind time”, and I feel that all my horses today are less worried by me than those I rode “back in the day.”
Just another example of the saying, “I wish I’d known then what I know now.”