Besides Africa, German AFVs were not painted with a destination in mind. All AFVs from 1940 to Feb 43 left the factory in Dark Grey. After Feb 43, they were painted in Dk Yellow with secondary camo colors added -- at first done at the unit level, but later standardized from the factory near war's end.
German armor that fought in italy was generally painted at the unit level in the typical three tone scheme. Basecoat was dark yellow (dunkelgelb) with secondary colors of red-brown (rot braun) and dark green (dunkelgrun). It was up to units to decide how to apply, in general. Spray guns, paint brushes, etc. all the hobby paint manufacturers offer these colors.
I prefer to spray a mix of Tamiya Buff and Dark Yellow for dunkelgelb. Tamiya Field Grey for dunkelgun and Tamiya red-brown for rot braun.