When I use Shaymin's "Celebration Wind" Poke-POWER, can I move my energy cards in play around to any and all of my Pokemon that I want, or just to one Pokemon?
You can move the energy cards from more than one Pokemon and move them to more than one Pokemon, as desired. However, once you have taken another action, like playing a Pokemon card onto your bench, attaching an energy card from your hand, retreating your Active Pokemon, etc. you can no longer move any energy cards around.
Source: Unleashed FAQ (2010-05-13), PUI Rules Team (2010-05-13)

Relevant cards

Note: All applicable cards may not be listed below.
HGSS2_8