What kind of pronoun himself?

"Her" is a third person feminine pronoun. It is used in an accusative sense (when the pronoun is the object of a verb or preposition) as in "I married her when I was under the influence of alcohol" or "Give the alligator to her". It is also used in a genitive sense (the pronoun is the owner of an object or attribute) as in "Jane will kill you if you eat her chocolates" or "I think it was her humility that first attracted me".

"Herself" like all the -self Words, are designed to express reflexive action. If someone other than Jane kisses Jane, it is "Albert kissed her." but if Jane kisses Jane, then it is "Jane kissed herself." Himself is the same thing: "The guy in Fight Club hits himself" and so are myself, ourselves, yourself, yourselves and themselves.

Sometimes "herself" and the other -self pronouns are used emphatically, as in "We all obeyed Miss Angstrom's orders to search the building, not realizing that Miss Angstrom herself was the mysterious Black Claw", or "Not surprisingly, for the fifth year in a row, the Anita Bulman award was given to Anita Bulman herself." There is a sense in this kind of sentence that something that should have been happening to another is reflecting back on its author: Miss Anstrom is leading the search for the Black Claw when she is the Black Claw. She is therefore searching for herself. Ms. Bulman should be giving the award to someone other than Anita Bulman, but she is not. She is giving it to herself. This emphatic should only be used in such cases.

Recently there has been an increase of the use of "myself" to mean "me" in phrases such as "Please contact myself on Monday". This is wrong, ugly, pretentious and to be avoided. This particular rot has not yet spread to "herself"