The beauty of Knox Mountain is that it really is a "choose your own adventure" type of place. There is a road that goes all the way to the top, so you can be as lazy as you would like. Hiking from the bottom parking lot to the top takes around an hour, and is well worth it for the views that you get all the way up. 

There are several trails on the way up, but my favourite is the Pavilion trail that starts at the lower parking lot, and you follow the signs all the way to the pavilion at the tip top of the mountain. Amazing views await!