I own both of the scopes in question. I like the Burris BP reticule for all-purpose hunting, since it is bold enough to be used in waning light or in the bush. I like the Vortex BDC reticule for long-range work, since it uses dots instead of hash lines (which Burris uses), which makes the reticule more fine and useful for long-range work.
Both scopes are equally bright and have great resolution. The adjustments are slightly more positive on the Vortex, but they are accurate on both scopes.
The Burris is lighter in weight, if that matters to you.
The Vortex has the best warranty in the business, and their CS rivals that of Leupold. That said, I've also sent a scope back to Burris, and their service and warranty was also fantastic, but their written guarantee is no-where near as good as Vortex'.