Q.blackberry cane pruning
Last year I planted blackberry canes and harvested a few berries. This year, each cane has a large “sucker” type growth that is quite large in diameter and has no blossoms on it as do the other smaller branches. This is why I think they are suckers. Should I go ahead now and prune those large suckers or might this be next year’s “wood” for berries? Thanks for any help.

Here is a link to pruning your Blackberries.
There is both tip pruning and clean up pruning information.
https://www.gardeningknowhow.com/edible/fruits/blackberries/blackberry-pruning.htm