This is the largest urban park. Moreover, that urban part is great because I am 10-30 minutes from three major trailhead areas.
For hiking I like many points of entry, one of my favorites is telegraph pass, this is on the south side of the mountain. A new recently remolded parking lot is found on desert foothills parkway. There is a paved path that is about 1/2 a mile and at its end Telegraph pass is to the left and Desert classic is to the right.
Telegraph pass grows in steepness towards the top where there are some larger stairs. At the top, there is a bench and you can then continue on National trail. If you head west, you can reach a great Ramada.
From the pima canyon entrance I take the fire road to national, after the initial ascent it is just some rolling hills, I then make left to hidden valley where there is a great natural tunnel, Follow this trail to reach fat man's pass, contrary to the name there is a narrow gap that fat men cannot pass luckily you can go around, this meets back up with national trail. Many unique rock formations on this hike.
For shorter easier hikes from this lot, you can do the east and west loops and Beverly canyon all small trails that loop, and have a few nice views.
For Mountain biking my skills are not too advanced so I stick to the east end of desert classic, with mostly straight section and a few wash passes and slight hill inclines it's great for a novice rider.