Real bear fur isn't just sticking straight out from the skin, it bends over to flow more parallel to the surface. Morcos' anteater on the splash screen is an example of that.
You'll need either groom it or use a direction map.
I'm not sure you need hair for a cartoon bear, it will make render times quite extensive.
But if you want more real hair, experiment on just a square patch first and try different things.