Each kid has his or her own triggers. For my SD, it was social time. For my SS it was video games and money. Use what works for each kid.
I also think that many times it is more effective to lay it out calmly and not respond in a way that ratchets up the volume. If you don't drop to their level, then it may not be such an argument.
Sometimes it isn't even about the thing in front of you. It's about something else. Maybe your kid wants to do something different in the morning because it's important to them. Find out what the real problem is, and realize that not every issue needs to be a big hairy deal. You have a 17 yr old, so did she have a very different personality or did things work for her that you haven't tried on the younger two?
You might also sit down and think of the top two or three problems you have with each child and start to address them one at a time.
How to talk so your child will listen is a good book, IMO. You might find that a suggestion like making a list of solutions will get your child involved in a solution without so much drama.
When I was a teen, one of my biggest problems with my mom was inconsistency - hers. We fought A LOT in part because I never knew if what she approved yesterday was OK today. Can I go to a friend's house? No? Why not? "Because I don't feel like it" was a terrible answer. Once I had a ride to a NYE party at my best friend's house and my mom vetoed it simply because she didn't feel like having me out that night. I had a place to stay, a ride, and I was a senior in HS. I had a huge fight with her because it made no sense. So when you have big fights, try to look at it from their POV. Did you just say something that contradicts something you said/did before? Do you have a good explanation? Do they know this? Do they have clear expectations, rules and parameters? Are they appropriate for their ages? Is there a compromise that could be reached? When you scream and fight, what's really going on?
I joke that my SD and my DD are in similar stages. One is a teen and one is a preschooler. Both of them sometimes need to "use your words" and "speak in a way I can understand you" and "take a minute to calm down so we can address this."
ETA: As CoMoMom pointed out, there's punishment and then there's discipline. There's an entire chapter about punishment in the book I mentioned. I admit that I still punish. But the time outs are fewer when I let DD experience the natural consequences of her own actions. I also try to teach her what TO DO vs just what to avoid doing.