There is a spot called "Mount York". It is 10km drive on sealed road from the township of Mount Victoria. You can also access Mount Victoria on the train, such departs every hour from Sydney Central Station. It is a $10 AUD taxi fare from the Mount Victoria station to the Mount York crag.
Mount Victoria is 25 mins drive west from Katoomba in the Blue Mtns. It's a great visit with 5.4 to 5.10 difficulty. Easily over 80 individual routes. Plenty of juggy holds, some cool cracks, and chimneys. All of it can be safely top-roped (the top of the crag has a clean clear path. You access the base of the crags via the same path. Pitches from 15-35 metres vertical.
The crag overlooks the beautiful Hartley Vale. Throughout the day, you should find routes shaded by big gum trees.
Kangaroos and koalas are in the area. And there are a number of 1 hour-long bushwalks for enjoying such.
You can camp for free in a large grassy area at Mount York. There are male and female toilets. And drinkable water from a tap (you don't need to treat it).
The campging area is literally next to the parking spots. It's not crowded, and you don't need to book. On clear nights, the stars are stunning.
You'll need a 60 metre rope, about 10 metres of sling etc, some biners and harnesses. The place ain't particularly busy. The anchors are jumbo big trees and solid chains (you won't need bolt plates for the mentioned carrot/carriage bolts).
There is a Blue Mountains Climbing guide for $50 AUD. Simply drop by one of the climbing shops in Katoomba and have a look at it. The routes are quite obvious (I ain't a sandbagger).
Also consider Zig-Zag which is in the same guide book. When buying groceries, there is a large supermarket in Katoomba - such is the best place for groceries in the Blue Mtns.
And yes. The canyoning is some of the best! With wetsuits consider the water jumps and rapping down the lovely 30 metre Empress Falls (near Wentworth Falls), or a 10 metre rap and lulling swim through our Grand Canyon (near Blackheath).
Keep warm, but stay cool.
