For a great local bicycling event calendar, check out the Arkansas Bicycle Club Events
The Arkansas River Trail runs along both banks of the Arkansas River in Little Rock, Arkansas and North Little Rock. The trail is longer in North Little Rock, but will be extended on the Little Rock side to match to make a loop trail. The trail is paved, and very suitable for road biking, inline skating, or running.
The Community Bicyclist bike shop carries Orbea, Jamis, Fuji, Surly, Ortlieb, Brooks, and Tubus brands.
Competitive Cyclist is mainly an online store, but you can visit their headquarters in North Little Rock and browse.
Spokes is a combination bicycle store and coffee shop in Little Rock's River Market District. The Orbea concept store was replaced by Spokes, which carries the Orbea line in addition to Cervelo, Felt, Niner, and Electra.
In addition to those brands, Spokes also offers the Retul bike fitting system and Louis Garneau bicycle and triathlon clothing.
Bring your bike in for service and get some organic, fair trade Doma coffee at the coffee bar. There's free wi-fi, which is a nice touch.