I have both brands each in many different models,, of the two I'd go with centaur,,, 1 they come in what ever bevel you want and 2 they have the chisel type point. simmons comes already set up for screw in where centaur you have to glue in the inserts which some like me prefer so we can get the blade direction where we want it (Me its @ 3&9)or use different weight steel inserts for super heavy FOC.
Both Battle axe and Big games by Centaur are more versitle and alot easier to sharpen or just strop them... Simmons I have the interceptors mounted now and they are also great heads but twice the time to sharpen I think and tougher on the re-sharpens.
Centaurs come 3 to a pack, my treesharks came 3 to a pack my interceptors came 6 to a pack,, so price depends on what you want.