The listings identify several materials: solid beechwood and sandalwood are specifically named, and other entries list generic wood or birch as the comb material.
Tooth types range from fine-tooth to wide-tooth and include teasing/detangling styles. The listings also show explicit tooth-spacing values—for example, 5 mm (0.20") and 3.8 mm (0.15")—to indicate how closely teeth are set.
Most listings describe the combs as suitable for all hair types. Pick-style combs specifically call out coarse, fine, curly, and thick/tangled hair. Common uses include beard and mustache grooming, detangling, lifting/volumizing, and general on-the-go grooming.
Yes—several items are described as compact, pocket-friendly, or travel size and are marketed for on-the-go grooming and pocket carry.