You wake up and you've got new headgear, but what kind do you have? the seasonal antlers or the more permanent horns?
Bonus points if you describe your set of horns/antlers
So, here is this puppet's thought process. I definitely wanted horns, because they are more predictable in what growing pattern they take and they are far less seasonal (without that felt skin covering as well. I do NOT want to have to scrape off skin a bunch. Nuh-uh! Ick!).

At first, I went for cool factor, so I looked it up! The pronghorns are the only animals with branched horns, but they shed those as well. Cool factor immediately became bottom importance after that.

I ruled out any horns that jutted far out to the side of my head, both not working with my hairstyle and being more likely to catch on things like doorways or if I needed to squeeze by someone or something, I generally turn the cheek to them (which could cut their face open, so yikes!). So ram-style horns and animals like antelopes and wildebeests are out of the question.

I also wanted to avoid horns that went more vertically than horizontally. I don't really want a whole bunch more height. This rules out a good few, like *looks closely at the old-timey horn drawings, eyebrow raised* I guess Satan? I promise this comment does not need purging,
@Prince_Azmiran_Myrian !

Eland had great positioning (if you take into account humanoid vs herbivorous head structures), but they attach weirdly.

Ibexes look really awesome, and the texture looks really cool, but unfortunately, the horn placement seems to vary considerably between photos and various populations. Horn lengths also vary massively, going from a good size to overwhelmingly large. I ain't a size queen...



Bison horns and some breeds of cows actually looked pretty good. Addax horns look great, if slightly fragile.
So!
Building off of these, my horns would attach approximately mid, slightly further forward, on the top surface of my head (with a small portion of both growing on the vertical part of my head for balance, more space for the base without looking awkward, and- I think- less likely to hurt this puppet's skull, because we are assuming bone structure). It would be further forward, but past a certain point, it wouldn't look very good aesthetically. I have a bit of a vanity streak, so I'm still keeping looks in return for neck pain. It will have as wide a base without looking so close that they might as well, or are, touching.
Textures: going fantastical with this. It will have sharp reliefs of eyes, grasping hands, and mouths in various distortions of emotion. They'll be tightly packed, and densely grown.
Internal structure: strongest I can achieve with human food and human supplements.
Color: I wanted grey, but rocky black is the safest for boring hair colors, and if I died my hair, it would match better.
Grows slightly up, then a good foot and a half back, curling slightly up to a sharp point. Of a slightly rounded square from base until it tapers off sharply.
Horns for puppet form: proportionally large antlers of alien physics, immaterial until desired. Razor, cold, black, with a artificially frictionless and plastic-like make up. Extends points out into various dimensions.
Can be cute, short, leatherlike (but your brain tells you it is soft even though it is actually rougher than industrial-grade sandpaper) and ending in stubs. More like a stuffed animal's antlers, kind of floppy, flat, and puffy.