Chattanooga has been named one of the top 50 bike-friendly cities by Bicycling magazine:
http://www.bicycling.com/topbikefriendlycities/slide24.html I wish they would have used the image above for their article.
Seriously, the Chattanooga area has a lot of great riding opportunities. The one mentioned in Bicycling, and pictured above, is the Tennessee Riverwalk. This route runs right behind the Tennessee Aquarium and hugs the Tennessee River's south shoreline for more than 10 miles to the Chickamauga Dam. You'll enjoy great views of the river and several shady spots away from the water's edge. This isn't a ride for speedsters however. There are lots of walkers and joggers sharing the Riverwalk. But there's ample room for all if everyone behaves.
So bring your bikes on your next trip to Chattanooga. You'll be glad you did.