Pediatric Optometrist

Will a pediatric optometrist detect something that a regular optometrist would not?
I'm trying to figure out who to take my 9 year old daughter to. One is closer to my home and cheaper regular optometrist, private practice and the other one is a little bit further away and cost $25 more. However, I can't help wondering if the pediatric optometrist would give a more thorough exam compared with a regular optometrist? Does anyone have any experience with this?

Pediatric optometrist or opthamologist? My 6 year had a weak score for visual perception on school test?
Upon speaking to our doctor, she says to wait and see if the neurologist we will see in January wants him to see an opthamologist. There are other health concerns that warrant a visit to a neurologist. However, the school pscyhologist who administered the test recommended taking him to see a pediatric optometrist for a vision test. I am not sure which route to take.