Having grown up in Tahoe, I will attest to the fact that it is a wonderful place to go hiking, biking etc.
There are countless trails down in the Reno valley, but for the good scenery, head up to the lake.
I will recommend any of those below, but please view any of my other pages for the Lake's towns for more details:
Tahoe Rim Trail - completely circumnavigates the Lake basin.
Mount Rose - go the top of Mt Rose, path starts near summit of NV-431 on the way to Incline Village.
Desolation Wilderness - a complete national part adjacent to Emerald Bay on the south west corner of Tahoe.
Equipment: Summers can can be quite warm (possibly hot) in Reno. Comfortable in the lake. Nights can be cool, so bring a jumper. Snow is possible, but typically does not happen until Halloween time. Due to hot sun, bring plenty of water on the trails.
At Virginia Lake there is a trail around the lake used by walkers, runners, parents stolling with their children, or people sitting and watching the birds.
Equipment: On one end of the lake there is an exercise area, one of those fitness courses.
Reno is surrounded by mountains and wilderness much of it easily accesible from town. I did some hiking in Huffaker Hills Open Space Park just south of the Airport.
Many people travel to Reno/Tahoe for the winter sports. But for those of us who live here, we had a real, honest to goodness winter in early 2005. This snow stuck around for months.