The youngest guild in the Oscar competition has several categories and an imperfect track record with the Oscars. We’ll follow them anyway.

HOLLYWOOD MAKE UP & HAIR STYLISTS GUILD AWARDS

Best Period and/or Character Make-up

Doctor Strange
Fantastic Beasts and Where to Find Them (Peter, Thomas, RU:Wesley, RU:Tripp)
Hail, Caesar!
Loving
Suicide Squad (Wesley, Tripp, RU: Peter, RU:Thomas)

Wesley Lovell: There’s a single Oscar nominee on the list, it would be unwise to bet against it. However, the way the Academy selects their nominees isn’t typical and could mean their nominations are less indicitive of broad support. In terms of makeup, only Fantastic Beasts is likely to compete, but I suspect the volume of makeup work in Suicide Squad may top all others.
Peter J. Patrick: This will likely go to the one with the most makeup.
Tripp Burton: Suicide Squad is the only Oscar nominee here, and the bulk of tattoos and prosthetics should service it well.
Thomas LaTourette: Fantastic Beasts seems like a good fit to win, though the Oscar-nominated Suicide Squad could pull it off.

Best Period and/or Character Hair Styling

Fantastic Beasts and Where to Find Them (RU:Tripp, RU:Thomas)
Florence Foster Jenkins (Wesley, Tripp, Thomas, RU:Peter)
Hail, Caesar!
Jackie (Peter, RU:Wesley)
Loving

Wesley Lovell: Fantastic Beasts is the only film to earn three nominations from this group, meaning it’s incredibly well liked. That may give the film an edge with voters, but it wasn’t an Oscar finalist, which means Florence Foster Jenkins, which was, may be better liked and since this is all about hairstyles, that film has a lot to offer. So does Jackie, my choice for runner-up.
Peter J. Patrick: Everybody loves Jackie‘s hair style, but then everybody loves Meryl Streep, so it’s toss-up between the two.
Tripp Burton: With no Oscar nominees in the bunch, I’ll guess that the Oscar short-listed Florence Foster Jenkins wins for its dynamic wigs.
Thomas LaTourette: Any could win, but Florence Foster Jenkins seems a good choice.

Best Special Make-up Effects

Deadpool (Peter, RU:Wesley, RU:Tripp)
Doctor Strange
Fantastic Beasts and Where to Find Them (RU:Peter)
Star Trek: Beyond (Wesley, Tripp, Thomas)
Suicide Squad (RU:Thomas)

Wesley Lovell: The category that best equates to Oscar features two of their nominees. A Man Called Ove was entirely shut out of these nominations, probably because no one saw it. Star Trek: Beyond has the most and most intricate work among the nominees and should be an easy winner. Deadpool‘s burn makeup may ultimately stop Suicide Squad‘s copious amounts of makeup, but it might be close.
Peter J. Patrick: Deadpool, no contest.
Tripp Burton: Oscar nominee Star Trek: Beyond has the most make-up of any of these, which should push it over the edge in a tight category.
Thomas LaTourette: I would think it will be a battle between the two Oscar nominees. Star Trek was the better film, so I will predict it to win.

Best Contemporary Make-up

Captain Fantastic (RU:Peter)
La La Land (Wesley, Peter, Tripp, Thomas)
Manchester by the Sea
Nocturnal Animals (RU:Wesley, RU:Tripp)
Zoolander 2 (RU:Thomas)

Wesley Lovell: There are two Best Picture nominees here and while I could see La La Land winning, Nocturnal Animals has a lot of prosthetic work in it, but the scraggly facial hair of Viggo Mortensen in Captain Fantastic could also be a possibility.
Peter J. Patrick: La La Land, probably, but they could also do something unexpected like throw a bone to Captain Fantastic.
Tripp Burton: The sweep of La La Land should extend here, unless the flashier Nocturnal Animals or Captain Fantastic push them over the edge.
Thomas LaTourette: The naturalism of La La Land could win over the outlandishness of Zoolander.

Best Contemporary Hair Styling

The Girl on the Train (RU:Peter)
La La Land (Wesley, Peter, Tripp, Thomas)
Nocturnal Animals (RU:Wesley)
Sully
Zoolander 2 (RU:Tripp, RU:Thomas)

Wesley Lovell: I’ll go with La La Land as an easy win, though Nocturnal Animals is a strong possibility, as is Zoolander 2.
Peter J. Patrick: I expect La La Land to win another one here, but with three strong women characters to keep coifed in Girl on the Train, it could win on volume.
Tripp Burton: I don’t see La La Land losing here, especially with nothing as pretty to push it away.
Thomas LaTourette: La La Land could win here as well.