Hi Andestine, welcome to WAB, we have similar tastes in plants
A suggestion to add to Cotham Marble's excellent advice: if you can find a source of coppiced Hazel or Willow near you (your local Wildlife Trust may be able to help), think about constructing a "dead hedge" 10cm - 20cm inside the line of the brushwood screening - this is basically a line of stakes 50cm - 1m apart, with long "beanpole" type Hazel or Willow rods interwoven horizontally between them. This will provide a sturdier support for climbers, look nicer than the brushwood, and the gap beween the two structures will (eventually) become filled with plant stems creating nest sites for birds. Perhaps include Loganberry and thornless Blackberry in your list of climbers.
It would be nice to see some photos of your garden
T2