What is the difference between the Dynamic and Atraumatic Rhinoplasty? Which will be more suitable for me? (photos)

Dear Valentin 1985,
The terms dynamic and atraumatic are essentially describing concepts of the surgeons rather than individual technical steps. 
I you specific situation, the tip support is dominated by the bridge. After reduction of the bridge, the tip requires control of the support to achieve and maintain a higher position.  Several techniques can achieve these results and have proven their value over time. 
 I find that preoperative computer simulations can establish the goals more clearly,  and the applicable technique derives from them. 

Hello,
Thank you for your question. In my practice, I utilise the Closed Atraumatic Technique due to minimize edema and bruising, accelare the healing process, eliminate a scar on the columella and prevent tissue damage by protecting the anatomy of the nose. Based on your pictures you may benefit from the radix augmentation, dorsal hump removal and refinement of the tip to eliminate the droopy tip appearance. Functional issues can be fixed at the same time. 
You can utilise my own techniques for detailed information. The Dorsal Roof Technique protects the dorsal anatomy but fixes the deformity and moreover, supports your dorsum by using the excessive tissue instead of excision. The ST FLAP TECHNIQUE protects the anatomy, supports the weak parts and reshapes the tip. To find out more please visit our RealSelf before and after pictures.  
Best Regards 

"Dynamic" and "atraumatic" are marketing terms more than surgical techniques. And anyway, you shouldn't select the surgical technique that you want: better is to select a surgeon whose results you like, and then let the surgeon use whatever technique he used to get those results!You have a complicated rhinoplasty, because there are a few different changes to make, and the different changes must be blended together correctly. For example, there's the bump on the bridge. But if the bump on the bridge is removed, the nose would appear much longer, and it would look worse. So the tip needs to be elevated. And the nose needs to be brought back closer to your face. How much to remove the bump or elevate the tip? You figure that out by using morphs to create a surgical goal before the operation. I'd love for you to see some excellent professionally-designed morphs of what could possibly be done with your nose. Morphs could also help you identify what's bothering you, and help you set a goal for the rhinoplasty that's accurate for your tastes. P(Side note: in my opinion, morphs should always be done by the surgeon, or he should direct an assistant as she makes the morphs. Morphs should be made with a constant eye to what actually *can* be done in surgery, for that particular nose, and only the surgeon has that information and judgment. Another aside: I also recommend that you not show morphs made by one surgeon to a different surgeon. If a surgeon makes his *own* morphs, you get to see whether he understands the important issues of your nose, and how your nose should be changed. But if you show the surgeon someone else's morphs, and he says "Of course I can make your nose look like that," then you don't really know if he fully understands, or even recognizes, the important changes shown in those morphs. And you don't know if he can make those changes during surgery.)
Remember also that rhinoplasty is an exquisitely difficult operation to get right, and you should only have surgery if you are able to make yourself very confident in your surgeon's skills. The changes that your nose needs require advanced techniques, and skill that most plastic surgeons don't possess with expertise. For most noses, it's much better to not have surgery than to have inexpertly-performed surgery. Read my essay on how to stay out of trouble while selecting a rhinoplasty surgeon. And it also discusses how to take photos that are best for online evaluations.
Your nose is also a perfect example of why computer imaging is mandatory in rhinoplasty. You need to know exactly what the surgeon is planning to accomplish -- what features he thinks he can change, and by how much he thinks he can change them. I always email morphs to my online rhinoplasty consultations. When you see the surgeon's goals in the morphs, you'll know whether he has an eye for an attractive nose, and whether he shares your opinion of what constitutes an attractive nose. You'll also know whether the changes he proposes are large enough to be meaningful to you, and whether he understands your wishes enough to address all of your priorities. How would you ever get that figured out without the morphs?