Really need to see leaves, not just shoots. Is it cultivated or growing wild?

So far it looks like the common nuisance kind Rubus armeniacus, with its scattered, nail like spines. Otherwise if it is instead a cultivated blackberry selection then fruits in particular would need to be seen. And maybe even sampled (tasted).

gardengal48 - i bought the house a year ago, so I am not sure if they are wild or cultivated. They way they run the outskirts of the property leads me to think they may be wild.

If that is the case, are they not worth keeping? Embothrium referred to them as a "nuisance".... is that just because they are hard to maintain? Or for another reason?

Would there be a consensus recommendation to either keep them or eliminate them?

My vote would be keep them for now, see how they grow, ID the species, and then decide if YOU like them.

If they are Himalayan blackberries - and if circling the edges of your property, that is a very good bet - they are considered a nuisance because they are an invasive species that is difficult to control and remove. But they are virtually everywhere here in the PNW outside of very urban areas. Their primary redeeming quality is that they produce big, juicy and very flavorful berries, usually in late July or early August.

If they are growing in an area of your property that you can manage or allow to let them develop, you might want to follow kay's advice and leave them for now to decide if they are something you might want to keep. Where I live in Kitsap county, most properties have a patch of blackberries they just leave but keep somewhat contained so they don't take over.