There are two main walking trails at Eaglereach, the Rainforest walk on the right on the way into the property, and the Moonabung Trail on the left.
Both are reasonable, but not crazy difficult walks. Allow a couple of hours for each walk.
There are a few 4wd tracks on the (1000 acre) property which are mostly not too extreme, people usually only get stuck after decent rains. Make sure someone knows where you are going, and ideally have a Telstra mobile with you, in case you need to call for help.
Refer to the attached PDF's for maps of the tracks on the property.