Originally Posted by Rattlehead
On the Homebrew Channel's website, it says that I need to have a copy of Legend of Zelda: Twilight Princess and a savegame for it. Savegames are easy to find, courtesy of GameFAQs. I don't have said game though, so that's a bit of a problem.
Well there is your problem. You need the right version of the "Twilight Hack" game save from the Homebrew Channel website (the one for your region) and Twilight Princess. See, it relies on a hacked game save that causes a buffer overflow on Epona's name and causes the game to load code from boot.elf (or boot.dol) in the root of your SD card. In your case I assume you put FCEUltra GX. You can't just take any game save from the internet and expect it to magically work, you need the...'specially crafted' game save from their website.
And no, there is no other way. If you were to rent Twilight Princess, then you could use it to install the Homebrew Channel, but initially the only way to run homebrew is Twilight Princess.