Right at Redfish there's not a whole lot for easy climbs for young kids- there are plenty of scenic hikes.
Some climbing options:
Fishook Point 9561 (scramble up from Bench Lakes)
Braxon (Class 2-3)
Grand Mogul (East Slopes- Class 3)
Redfish Peak 10212 (SW of Saddleback Lakes)
Williams Peak (south slopes)
Horstmann Peak (south slopes)
If your looking to technical climb, the most accessible is the Redfish Slabs or Super Slabs, where there are many routes with easy approach right off trail.
Most of these would take most of a day for many families and are at least partly off trail. Hope this helps.