Isaiah 29:23 (King James Bible) but when he seeth his children the work of mine hands in the midst of him they shall sanctify my name
Under 2 Nephi 24:13, I discuss the occurrence of my versus mine and thy versus thine before h-initial words in the Book of Mormon text. The tendency for the original text has been to replace the mine and thine of the Isaiah quotes with my and thy. Here in 2 Nephi 27:34 we have one more example of this tendency.
Summary: In 2 Nephi 27:34 the critical text will follow the reading of the Book of Mormon text (“my hands”); the original text favors the personal pronouns my and thy rather than the now archaic use of mine and thine before h-initial words (common in the King James text since the initial h was often not pronounced in Early Modern English).