DTD actually has it's own parking area. It is right across from the massive parking structure at Disney Way/Magic Way (?). The signs are pretty well marked to show you exactly where you will need to park for DTD. 3 hours of parking is free, and if eat in DTD, you can get a stamp for your ticket that gives you an additional 2 hours. If you're not into self parking (sometimes it is very busy), you can always opt for valet, which is also provided there.