many ways no right or wrong way, what ever works for you,
my way:
prespray,
take hose off hand tool to just spray solution soak the step or 2 or 3, you can then brush if needed, put hose back on hand tool, suck up, noses spray plenty on suck off with end of hose.
so same as mark said, except i soak with just solution, imedeatley before extraction, just rinses it better, i would imagen not nessacary with TM or more psi than i got.
does that make sense?