I almost always use palms. I primarily use my Violet Palm, which I've had for the majority of the game. The rarity's not very high, but it has some good effects, such as the forward charge shot bonus, which I use all the time. Occasionally I'll switch to my Viridi Palm as well, especially if I want the heart bonus, but I prefer the Violet one.
If I HAD to choose a second, it'd probably be bows. I can't stand clubs becaus they're far too slow, staves are too weak, Orbitars are useless, and I don't know if I've ever used an arm or club of my own free will. I can use Claws or Blades if I have to, as well.