If you are in the hunt for a postdoc, make sure to look around and ask your advisor for guidance. The expected responsibilities of postdocs is highly variable between positions. Salary is also highly variable. Many postdocs are found by emailing researchers and asking if they would be interested in postdocs.
These are recurring every year:
University of Florida Statistics Department maintains a listing of statistics jobs. Still others can be found on the American Statistical Association’s jobs site.