As the deity of poetry and music, Bragi gains power every time one of his worshippers sings or recites verse, and thus he grows stronger with each passing year. He's a fun-loving god, though one given to fits of manic activity, and he constantly wanders, seeking to improve his gift and bestow it on others.
Bragi's a good friend to poets and songsters everywhere, even among other pantheons. Oghma, especially, has earned his respect, and the two've made music that sets the good-aligned planes singing. The Norse god has no particular enemies, but his hatred for giants has grown steadily over the centuries. This rage was fuelled by Thiassi, the (now-dead) giant who kidnapped Bragi's wife Idun to get at the Apples of Youth.
In addition to living in Asgard, Bragi keeps a realm on Elysium, where he says he can hear the beautiful music of the multiverse more clearly. The realm, HarpHearth, is actually little more than a mountain peak where the bracing winds of the upper air flow. The proxy Tharissa Harpchord strolls through the land with her small, golden harp, and Bragi himself maintains a small cottage on the slope (well, small for a god, anyway). He retires there when he's done listening to the songs of the wind for the day. Idun often visits him at the cottage, and they usually return to Asgard together shortly thereafter.