Heyoo! So I just bought me some from Spyder and was looking to get some bulbs. The kit itself (check out the link) says that they're Halogen LED, and that confuses me because I want to use these . Would they fit? I don't know anything about this stuff, so any help is greatly appreciated!

 

Halogen LED makes no sense, halogen is a gas while a LED is a solid state device (no gas). I suspect they meant LED replacements for halogen lights.
HID is a High Density Discharge light, really an arc light inside of a glass envelope filled with xnon gas, the light is produced by an electric arc developed across two electrodes (similar to a spark in a spark plug) the xenon gas is used to facilitate the arcing. HIDs require a high voltage supply to set off the arc.
Halogen lamps a re just plain light bulbs filled with halogen gas for better efficiency and life.
LED devices work off a low voltage supply and when used to replace a regular lamp they are usually wired in series or through a device that lowers the voltage.