IME you want both a fine tooth comb and the smoothing bristle brush. However, I have generally preferred soft nylon bristles over boar---it's easier to clean and doesn't get greasy as easily. I actually use these 3-in-1 combs and it goes a lot faster: https://www.amazon.com/Smoothing-Ponytails-Sectioning-Hairstyling-Competition/dp/B09W5L8XT8 You should orient it so the comb side goes into the hair first and the nylon bristles trail after to smooth.
A sleek, super high ponytail pairs gorgeously with a Queen Anne neckline, and is one of the hairstyles that I generally find most cooperative for my thick but very fine + slippery hair because gel does all of the hard work. It's also easy to accessorize with, say, a giant scrunchie. I might need to do some digging to find a good video tutorial; failing that I will come back and try to write out my own instructions if you're interested. At least in terms of supplies, you'll want a fine tooth comb, a firm smoothing brush, a hair bungee, a very hard hold gel (I recommend Got2B Ultra Glues in the black bottle), and a spray bottle. (If you don't already have a smoothing brush, it's probably cheaper to get these dedicated styling combs: https://www.amazon.com/Smoothing-Ponytails-Sectioning-Hairstyling-Competition/dp/B09W5L8XT8 I bought them for dance but use them all the time because it makes getting a sleek ponytail so much faster.)
