You can't keyframe blending/transfer modes.
But you can duplicate the layer, apply one mode to each, and mix between the two with opacity keyframes on the upper of the layer.
Alternately, to avoid the interaction of the two blending modes, you could create two precomps, each containing the underlying footage and a respective blending mode on the upper layer. Then mix between the two in your main comp using opacity.
Thank you. I have found another way here:
"You can’t directly animate blending modes by using keyframes. To change a blending mode at a certain time, split the layer at that time and apply the new blending mode to the part of the layer that continues. You can also use the Compound Arithmetic effect, the results of which are similar to the results of blending modes but can change over time."
Have you tried that? which way is preferrable quality-wise?
Option 1 - splitting the layer, will result in a hard change at the split point.
Option 2: All possible, but a little more complex than just adding a blend mode.
In addition to using the methods already mentioned, do not forget that you can use effects that are able to reference other layers. Many of them have built-in blending modes and blend with original options, which can creatively be used to avoid working with extra layers. CC Composite would be one such effect for instance...