Magnetic properties of Y3AlFe4O12 garnet ceramics have been studied over a wide range of temperature (3 – 370 K) and magnetic fields (up to 2 kOe). Effects of varying the temperature on some of the application-specific magnetic characteristics have been analyzed in detail. With the decrease in temperature, the effective anisotropy constant, KEff, is found to sharply rise below ∼150 K, while the saturation magnetization, Ms, changes only slightly (<20 % within 3 – 250 K). The exchange stiffness, Aex, and spin wave stiffness, D, parameters mirror the relatively smooth behavior of the magnetization at low temperatures but display a rapid drop when T approaches TC ≈ 436 K. The temperature dependence of the domain wall thickness and the critical single-domain size correlate with the corresponding values for pure Y3Fe5O12 (YIG) and are in agreement with the theoretical estimates. We conclude by discussing the ways of how to use the obtained results for tailoring the magnetic properties of YIG-based materials for technological applications.