Depending on the level of soiling, but presuming a worst case scenario:
Pre-vac
Brush dry with your Envirodri (black brushes preferred)
Vac again
Repeat as required
Prespray
Agitate with Enviro/black brush
HWE
Repeat from prespray if required.
With your wand, a glide will be beneficial, otherwise lift the handle a little to reduce the "lock-down effect" and give better airflow. Extra dry-only strokes as required.
Bonar recommend lots and lots of water, but be wary of any chipboard type fittings and furniture that could easily be damaged.
Safe and happy cleaning

Ken