A current list of the JP Courts can be found at:
Members of the public are asked to make an appointment through the administration office for a JP court where signing can be arranged.
It is for a solicitor (who may be a notary public) to decide where to set up in private practice. The majority of solicitors are notary publics. I attach a note provided by the Law Society of Scotland showing the number of notary publics by area throughout Scotland. The Law Society’s website provides a link to the EU find-a-notary website http://www.lawscot.org.uk/members/notaries/.