There is ample parking in the Station Car Park and metered parking around Blackheath village.
To get to the clinic, walk out of Blackheath station, turn right and walk up the hill.
Take the second right (the first is the BMI private hospital) which has a laundrette on the corner.
Walk down that road towards the restaurant The Artis. When you arrive at the restaurant the entrance is on the right side of the building via 2 double doors.