For a cyclist, the Art Museum Park is best skirted on the perimeter. The park is a great destination, or a place to park for bike rides to Umstead Park and Cary, but its popularity makes for lots of pedestrians, dogs, and kids – and potential entanglements with cyclists. The Reedy Creek Greenway bridge is a great beltline crossing for all, so mixed traffic is a given. The best strategy is to go slowly and stick to the trails on the south side of the park, and to the bike path along Blue Ridge Rd.
There are trails through the park, but they are more suited to pedestrians than cyclists.