Straw needles and Milners are about the same, just two names for same item. Headers often use straw needles because the shaft is straight-- the same width from eye to point, instead of ( bulging) in the center. They are long, smooth & straight. I like them for some sewing, sometimes a shorter needle is a better choice. Trying a variety of needles will allow you to choose the needles You like best.
I never use Betweens ( or quilting needles) because for me they are just too short. I have friends who always use them for hand sewing. We each have our likes.