Backupped games and homebrew AND XBLive doesn't exist.
It's either backupped games and XBLive.
Or both and no Live.
XBLive + backups is also referred to DVD flashing.
It depends on your drive and you need some hardware.
Homebrew and backups is also referred to RGHing.
you need to install a chip for it.
(you can do an RGH with XBLive on a dualNAND but judging by your post it's not recommended)