As for bike paths in Reno, we have a couple small ones in/near the city, such as Galena Forest. However, you seem to want big bike trails. LEt me introduce you to the Tahoe Rim Trail.
The trail is huge, as it goes all the way around Tahoe while giving its perimeter a wide berth. The trailhead nearest to Reno is also the Mt. Rose hiking trailhead, so probably 15-45 minutes from Reno depending where you live in the city.
You also have the Squaw bike paths. There's a paved one going from Squaw through the valley to Tahoe City next to the Truckee, and a whole bunch on the mountains at Squaw (although you will need to purchase tram tickets if you don't feel like hiking 3,000 vert to bike).
Paved to Tahoe City:
Up on the mountain(s):
I don't have any pictures of this myself, although I hope to hike around Squaw one of these weekends for a couple hours and take pictures.
Reno itself has some pros and cons I'd like to mention that I didn't really get around to.
Truckee River! Great recreation, a ton of fun in the summer. Goes right through downtown. Wingfield Park in the summer is one of my favorite places.
We have a water park!
Great mountain biking and hiking!
There are two major hospital chains to choose from. We have St. Mary's and Renown. (First two are Renown, second two are St. Mary's).
Art. Reno has recently gained a reputation up there with Portland and San Antonio (both also river cities) as an artsy town. Every summer, there's Art Town, where there's a lot of, well, art. A lot of plays, performances, small Burning-Man-style burning sculptures. It's all just a ton of fun. It's along the river, where the semi-new Riverwalk provides a great place to stay out late and just have fun.
Events downtown! I usually don't really like going to downtown (see: casinos) but there's a ton of events that are just too much fun. There's santa crawls and others, toy duck races down the river, music festivals, Rocky Mountain Horror Show things ( I don't really know) and more!
Breweries. I can't drink, but I've been unanimously told that all of our local breweries are great. My parents love the Great Basin Brewery Ichthyosaur very much, and they save it for family gatherings and other special occasions because everyone seems to love it.
Smoke. Whenever there's a fire in Northern California, we get all of the smoke. This is almost always in the summer. Last year was particularly bad. For one day, we were the most polluted city in the world, above even Shanghai, because of the Yosemite fire. The sky was gray, you couldn't see 1000ft in front of you, and everything was bathed in an eerie red light. It looked cool, but it was hard to breathe. This year, in fact, right now, there's a fire going on that we're getting all the smoke from. It's much worse in North Reno than down here, and it's clearing up, but it wasn't what I'd call enjoyable. It wasn't anywhere near as bad as last year, though.
Speaking of fires, we seem to get them in Reno, too. We live in one of the driest climates in the world, and surrounded by brush. Everything is flammable. We haven't ha a fire in a few years, but the last one almost burned down a neighborhood near Skyline. In fact, my friend had to evacuate his house. The hills around there are only now recovering from that, and regaining their natural color. They were black for a while. The same with Windy Hill, which is very near where I live.
Casinos. I like buffets, I like pools, I like the idea. But going inside one is like intentionally killing yourself with secondhand smoke. I just make a beeline for the restaurants whenever I'm in one. Also, slot machines are really loud. And really annoying. They make all sorts of really weird noises to try to advertise themselves. This just sounds like a complaint at this point. If you're like me, and don;t like gambling, you'll probably never enter one except for the amazing restaurants, pools, and rooms.
4th Street. You want to try to avoid parts of 4th Street. It's pretty much cocaine central. Super seedy parts. However, parts of it are very nice and house a ton of craft breweries that are now popping up.
I hope this helped a little! :-)