The lynx bus runs every half hour from like 6am to almost midnight. It's 2$ per person, and up to three children can ride free with each paying adult. (the all day pass is 4.50, so that's something you don't need). Seniors and children fares are a 1$ each.
You can pick it up at the TTC, or DTD on the other side of cirque theater. (there's also two other stops on hotel plaza blvd, right at the street light at the marketplace end outside of the suntrust bank, and down towards the end of the road outside the last hotel.) So if you take the Disney bus to DTD, just get off at Marketplace and walk to the street corner, there will be a lynx bus stop sign.