Park along the small road, opposite the sign for the hot spring on the left-hand side or just before it (see § Practical Information).
This route is signposted by the Club Vosgien from the Reherrey car park
(S/E) Follow the path down the steps to the Source Chaude.
(1) Cross the stream and continue down to the village of Reherrey.
(2) Cross the bridge and first turn right then left to reach the car park where the walks start.
Follow the Blue Triangle markings as far as the ponds.
(3) Cross the bridge at the end of the car park and turn right, following the Ravage stream. Reach the Pont du Rondin by heading slightly down to the right of the main path.
(4) Once you’ve rejoined the path, turn right and continue until you reach a forest track.
Red Cross markings
(5) Carry on to the left until you reach the Étang de la Besace and go round it on the left. Keep to the left for about a hundred metres.
(6) Take the path on the left towards the Grand Étang.
(7) At the far end of the pond, turn right. Walk past a beautiful house on your left and continue to the next junction (house opposite, slightly lower down).
Blue Cross signposting
(8) Turn left towards Pré Grandemange.
No further signposting
(9) Head down the forest track to the left.
(10) Cross the Thibieu stream and head down to the Reherrey car park.
(3) Follow the route you took on the way there back to the starting point of the walk (S/E).

The second half was more traditional, but also very pleasant. Definitely worth doing! (I just noticed a small error on the map for the last part, but it's only in the explanation, so it wasn't a problem.)