I tune my baritone B, E, A, D, F#, B, strung with 14s. So, you play it like it's a standard tuned guitar but it's a half octave down. The advantage I see is that it eliminates the confusion of having that 7th low string, and keeps the fretboard from being wider than it needs to be. Plus, you can configure it with different pickups and whatnot to give you some alternate tones.
It's pretty cool. I use mine because it changes things up and sounds different than a regular tuned guitar. When we're writing new material I will usually try out some of the riffs I write on a standard tuned guitar on the baritone. On the fretboard it's all played the same way, but it's obviously in a different key and just sounds different. For some stuff it works really well, it can take a boring riff on a regular guitar and give it new life. For other stuff it doesn't work at all.
I don't know how else to describe it than "different" because it's still a guitar. It just provides a whole new landscape of tones and textures to have at your disposal.