You might also consider bullnose endmills. Ball nose can’t remove material as efficiently as flat or bullnose-- too much center.
Bullnose have advantages over flat end in many circumstances as there are no corners to break, and will get you to finish in many cases. For finer detail, follow up with ball end may be needed. Bull nose cost about the same as or a bit more than ball end, but remove a lot more material and can handle heavier cuts like a square end. You avoid some tool changes, as well.
For most wood applications, two flute is a good choice.