Just an hour from Bristol, the Skirrid (Ysgyryd Fawr) rises dramatically from the surrounding landscape. The views over towards the Brecon Beacons and Sugar Loaf are worth the steep climb up.
National Trust Car Park, NP7 8AP. Free to NT Members: otherwise Pay & Display.
Good paths throughout along the National Trust route. Steep initial climb through the woods.
About 1hr from Bristol by car. The car park is quite remote. The closest town with a bus service and train stations is Abergavenny, about 4 miles away.
Walk to the far end of the car park where you'll find a sign and a gap in the hedge. Turn right and start climbing up towards the woods. Go over the stile at the entrance to the woods and follow the clear path upwards. The climb is steep but you'll soon find yourself on the open hillside.
Once out of the woods, you can either turn left and follow the footpath contouring around the hillside and then steeply up to the trig point, or you can walk straight along the top of the ridge.
To return from the summit, head back along the top of the ridge and descend back down to the woods, retracing your steps back to the car park.
More info here.