Normally the question goes, "Android or iOS", so this is a breath of fresh air.
Coming from somebody who has used both a Blackberry and an Android Device, I would say it entirely depends on your personal preference.
The blackberry is first and foremost a phone, with emphasis more on the social connectivity through BBM. If you wanted to do anything outside the stock feature of the Blackberry, you may find the Blackberry App World to be very under-featured.
However, in it's defence, the blackberry has THE best QWERTY keyboard on any device to date, and that is why they continue to sell.
The Android Phone however, is for people that want more from their phone. The ability to integrate with social networking sites easily, or simple to play games on the move. Android offers unparalleled customisation.
As such, it really depends on your personal preference. But for now, we over at GizmoFlux prefer the Android Phones.