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The process of combing out down in goats still remains practically non-mechanized, and therefore very difficult for operators. For the successful development of the down goat breeding industry, it is necessary to conduct research in the development of mechanical devices that will significantly facilitate the work of operators and will increase their productivity. It is equally important to ensure careful combing of down, which will not cause injury to the animal and will improve the quality of the combed down. When developing a mechanical device for combing down in goats, it is necessary to repeat the process of manual combing of down as accurately as possible. To do this, an analysis of the trajectory of movement of the tip of the comb tooth during manual combing was carried out. Based on the results of the analysis, the scheme of a combing device based on the Chebyshev hinge-lever mechanism was proposed. Analytical equations linking the known parameters of the input (leading) link with the unknown parameters of the driving links are derived within the framework of the analytical method of the kinematic study of mechanisms. Using these equations, it is possible to calculate with a predetermined accuracy the necessary kinematic parameters (displacements, velocities, accelerations, both linear and angular) of the output link and driving links. Based on the results of full-scale modeling and theoretical calculations, the optimal dimensions of the main parts of the device were established. The use of the proposed mechanism will reduce physical effort and operator fatigue, increase productivity due to the abandonment of manual labor and improvement of the device.