I can't tell you what the pros do but for me in the last couple years I realized I was going about it all wrong.
I used to get to the range before my round and immediately start pounding long irons and driver thinking I could "work on something" before my round.
I've now realized you can't really change anything before your round starts.
My new system that I've adopted in the last two seasons has helped me a lot:
1. Some quick light stretching (touching toes, hip turns...etc) 1-2min.
2. Short/Mid wedge shots (get the feel for your approach game) 4-5min.
3. Putting green (figure out the speeds for the day, this helped me a lot) 4-5min
4. Mid/Long irons (not many shots, just get a sense of what your flight is that day) 3-4min
5. Driver (just a few again, don't get caught up on swing thoughts) 3-4min
6. A bit of active stretching (hopping, swinging arms...etc)
7. Hit whatever shot you will hit on the first tee
Tee it up.
Hope this atleast helps a little, I'm no pro but this routine can be done in as little as 15min or stretched out to 30min and I have no first tee jitters now.
If I have less time then that I start taking away the long irons and driver and increase the active stretching. But still keep in the 1st tee practice shot. Before I would have cut out the putting and wedge play which I feel was the exact opposite of what I should have been doing.