You can tune it loads of different ways, but just make sure you do put the right string set on for the tuning you desire. For DGBE, make sure you buy Baritone DGBE strings, and similarly for gCEA, buy Baritone gCEA strings. They are different weights, thicknesses and therefore tensions, and not to be mixed up.
With the right strings on, and if you are not accompanying anyone else who is tuned to any particular standard key (say on a guitar EADGBE), why not try raising or lowering the tuning of your Bari to suit your own singing voice. For DGBE strings, you could try going down a notch to C#F#A#D# or even lower if it doesn't get too floppy, try CFAD, that sounds real nice on some Bari's, terrible on others. Going the other way, it won't really strain your Bari neck to try a higher tuning, up one notch say with D#G#C F. Use the same chord shapes you usually do, play the songs the same way, it will be the same song, but either higher or lower of course. If you are accompanying someone else, or playing along to a track, you will need to retune your Bari to standard tuning, or you will sound off-key.
I like the Bari because it is a different sound to my reentrant ukes, and I like my Bari in DGBE flavour. I like that it can sound like a guitar, but be easier to travel with, I like it that I can play the same chord shapes as my guitar, without needing to transpose for uke. I like the resonance, the depth, the fret spacings suit my fingers better than soprano's or even tenors, the neck length is more comfortable than a soprano or a guitar in my opinion.
After I got my baritone I became addicted to it I guess, and don't pick up my soprano as much these days.