Regarding the terms Anglican and Episcopalian, there are essentially the same. Episcopalian was adopted in Scotland and America in order to drop the official association with the Ecclesia Anglicana (Church of England).
It was pretty tough for Anglicans during and after the American Revolution - the enemy was A/England. American Anglicans preferred not to bear the English identity (Anglican) and so were called Episcopal - which meant that they were the Protestants who claimed to have episcopoi (Greek word for bishops).
Globally, Anglican is the norm. In America, it's Episcopal.
However, in America, conservative Episcopalians in the last ten years have reverted back to the term "Anglican" to differentiate themselves from the liberal mainstream Episcopal Church of the USA.
When I was an Anglican clergyman, I would have called myself an Anglo-Catholic priest.
ad Jesum per Mariam,
Taylor Marshall, PhD