I like the Great Northern line of quivers because the hood and gripper are attached to each other. When I take the quiver off the bow, the arrows stay in the quiver.
If the bow has limb bolts that are a good distance apart so that the arrows don't whip much during recoil, I will use a limb bolt version.
If the bow has limb bolts that are close together (like on my Rasmussen take down flatbow) I will use a strap on version.
I don't like drilling inserts in to a bow, but I do have a one piece Rasmussen that came that way and the bolt on version works very well on it.