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It's a bit hard to type out, but basically pipes are in the floor above, and come down into a broom cupboard and then turn right out through the wall into a rad.
They need to come from floor above and turn left to the adjacent wall.
It's going to be a vertical rad so I'd also hope the pipes can go into the top.
Ideally I'd like the pipes chased into the wall - but I expect this to be about 20-50cm.
Moving pipework can be a can of worms... is it under/over floor, or inside/outside the wall?
I'm guessing you want soldered copper pipe with bent corners, or perhaps soldered corner pieces instead of bent corners? I'd spec that too as some cheap quotes might involve using compression fittings, etc.