Yay Capezio Bunheads bun pins. I still have mine from the 20th C and early 21st. I still use them. They have never failed me.
For the OP - there are all kinds of YouTube videos on military women’s buns, styles, tips. Search on “sock bun, military women’s bun styles, military women’s braids, etc.” or substitute service for “military.”
Also, find a frizzy-smoother product that works on dry, damp and wet hair, the kind where you put a dab on your palm and quickly work it through.
Finally, there is technique to the long bunhead pin. Start at a perpendicular angle to the head, catching a bit of the outer side layer of bun, then rock it back and in, upward toward bun Center at slight angle. Don’t just slice in from side parallel to head.
Of all the words I have ever posted on here, perhaps these are the most technical...