So, I'm not the brightest light on the tree, and happened to have the misconception that the Angel Eye Halos on my 2005 E53 were a tube of halogen being fired (yeah I know I'm dumb

)
My original idea was to have multi-colored (ie. full spectrum) LED lights, but I want some help with finding out what will fit and what won't.
The first ones I was looking at are here:
amazon link
or these
ebay link
So if those fit, I will order those, and if you don't think they will, I was hoping to find out the traits that would cause for them to be incompatible.
(I already tried sorting by car/trim, i kept getting no results and figured there HAS to be one of these that works)
Thanks for any help!