The Veloweb is more talk than substance. With the exception of a few multiuse paths here and there, cycling around the DFW area requires you to get out on the street with the other traffic.
I doubt there are any firm comitments to implement much of the plan at this point. However, for Dallas, there is a network of bike routes (not separate from other traffic) that is established. You can get a good quality set of maps at REI stores and perhaps other LBSs in the area. You may also be able to see the routes at dfwmaps.com but the interface is cumbersome.