The French love cycling so they made a bike map.
Farrer Nature Play is a good cycling destination.
Some mountain bikers like it steep and Mount Rob Roy is certainly that.
Planning a recreational ride starts with identifying the options. CyclOSM highlights where you can cycle with blue and green lines and greys out where you cannot.
Riding in Canberra is great if you know where to go. Roads are not the best option, and paths are much safer. OpenStreetMap shows all the paths. Load an app on your smartphone and the map goes with you. Let me point you in the right direction.
Comparing maps for the National Arboretum