Heres what i use...
SL dual trim flocked with fans for the fascias (gets behind the gutters)
sill brush on the conny
I have a 5L sprayer i converted with a wfp to spray VIRO-SOL onto the fascias. I leave the chemical on there for 2 mins, then use the SL brush to rub it in, then wfp off.
Conny also gets the VIROSOL treatment .... sill brush makes it easier to clean the finals and gives a larger cleaning area from brush to roof.
The chemical makes the job easier in my opinion. i used to just wfp them, but since using the chemical i wouldnt go back to wfp only
Without seeing the house / conny its hard to say, but i did a 4 bed house (windows, fascias & conny) for £150... might give you an idea on price. Took about 4 hours in total (im pretty experienced at these jobs now)