CBT works well with controlling symptoms, especially around behavior and thought (hence the name of the therapy). Psychodynamic is better for long-term and deeper work to change the causes of those symptoms, to understand and change on a more profound level. CBT may require more effort and preparing on your part as the client while you can just go and be yourself in a more psychodynamic approach - but psychodynamic therapy tends to last longer and go deeper into the past and unconscious, which makes it, in my opinion, more of a commitment (time and energy-wise, financially etc). Personally, I prefer a combination of these two because they both have advantages and I think that a therapist who can use both types of approaches can switch throughout the therapeutic process as necessary. I'm not saying a therapist would need to be specifically trained in both schools of thought, but rather be mindful and make use of more than one approach.