We like our Mystic Wand - but we don't have the Luv, so I can't say. However it take 4AAs which indicates good power. If I had it to do over I would get the rechargeable Mystic Wand (it wasn't available when we bought ours).
BTW the Mystic Wand does seem to get good battery life.
The Luv Your Body has good life and great vibrations. (My friend owns one, and told me all about it.) But as for the Mystic Wand, I am not sure, though I do have a guy friend who ordered it recently, so I'll get back to you on that.