Why not go to the pediatrician who made the diagnosis for the medication? S/he will already have all your daughter's details on file and will be in a good position to monitor changes in behaviour as s/he presumably did an in-depth evaluation to come to a diagnosis of ADHD.
To answer your question of which psychiatrist: go to the one who has the most experience with ADHD in children. I will also state that it is imperative that you and your daughter feel comfortable with the psychiatrist; the best in the world will not be effective if you are not comfortable.
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