Your choice of [[AME]] can make the medical process smooth or more tricky. It's worth asking around to see what experiences others have had.
[[AOPA]] has more information about the history and process in this article: https://www.aopa.org/training-and-safety/students/presolo/special/pilots-guide-to-medical-certification
The [[FAA]] has a database of AMEs on its website: https://www.faa.gov/pilots/amelocator