In our case they just ran a 1/2 inch diameter pipe down the wall from the soffit to the converter and 'on/off switch' and then again to ground level, all neat and tidy and can be painted if you want like I said. You could if done right/possible place most of the top to bottom cable right next to the downpipe and it would be pretty well hidden.
We've then got armoured cable going tight along the edge of the house just below ground level (we've got gravel edge to the house) all the way from the back to the front, we were given the choice of this or low level ducting. The same pipe used at the rear is then used to bring it up into the electrical box, where the old electrical meter and the new solar meter and 'switcher' (sure it's in there too) goes.
Might have been another cable from outside to fuse box but can't remember off the top of my head.
In essence the layout is this in our case
solar panels --- inverter (this is roughly 1.5ft square in size) and on/off swich (this is to allow work on panels/cablets etc) --- electric meter box (couple of little boxes in here)
--- means cables