Best practice in Postgres is to use always use the text data type and combine it with check constraints when you need an exact length or max length.

See: https://wiki.postgresql.org/wiki/Don't_Do_This#Text_storage

Also, I think you're misunderstanding the article. They aren't talking about storing a uuid in a bigint. They're talking about have two different id's. An incrementing bigint is used internally within the db for PK and FK's. A separate uuid is used as an external identifier that's exposed by your API.