On a whim, I bought a pair of plants for my container garden. They were labelled raspberry and blackberry; however, I'm not certain about the blackberry plant. The blackberry that used to grow by my old house looked a lot more like the raspberry than the blackberry I just bought:
(Now that I look at it again that's a terrible photo. I can take a better one if you want.)
Obviously that raspberry plant is going to want a trellis, and they'll both need bigger pots. But will the blackberry also want a trellis? Or will it grow into more of a bush shape?