There are some growing over the fence from next door (both sides!) and the kids love blackberries so if there is a chance of fruit this year I'm inclined to leave them as they are not in the way. If not I'll cut them back. It worth leaving them two years.
Just for background info as to why they are there-our garden was overgrown with them before we got it and we have cut them down and dug them out and keep removing the ones that grow back. The neighbours still have a few in their side behind their (nice) hedges, though.