They have a GAC, it works differently at DCA than at
Disneyland unfortunately, at DCA plan on getting FPs where available, I will give my reccomendations below for that purpose.
Basically you can get the GAC at either park and it will have the same stamps, just explain what your needs are and they will provide a pass with the stamps needed, the easiest one to get is a Wheelchair, which basically tells the cast members at the attractions to treat you as if you were in a wheel chair, they have all of the same stamps as at Disney World but the bypass stamp is impossible to get unless you would be an immediate physical danger to others in the que.
NOTE: If you get the wheel chair stamp that at Disneyland this means the only attractions that you would be mainstreamed on are Buzz Light Year, Winnie the Pooh and now the Monorail, which is only making one way trips to Downtown Disney right now, but after June should be ressuming normal operations, with Winnie the Pooh it is usually no more than a 5-10 minute wait, any longer than that and you should just go back later. At DCA, if you talk with the CM at the attraction they should at least provide you somewhere to sit while waiting.
With the wheel chair stamp here is what I find best, for some reason it doesn't seem to matter what time you arrive this seems to work the best:
First get FPs for Soarin' (If the line is posted more than 10 minutes as 10 minutes is considered a walk on) (Note that Soarin' has a single rider's que and if you don't mind being split up you could choose this option instead)
As soon as your window opens get a FP for TOT, until your window is open follow the list below until your window is open
next go on Monster's Inc., unless there's a show of Aladdin starting soon, then go to see Aladdin first, if it is still not time to use your TOT FP go and see Muppet Vision 3-D, then ride TOT. Before leaving Hollywood Backlot be sure to go into the Animation Building and do all there is there, it is a lot of fun and a lot different than the one at MGM. Also has nice cushy seats to sit on, this is also a great way to pass some time before your TOT FP is valid.
If it is a hot day, I would then go and get a FP for Grizzly River Run and then ride Soarin' by the time you are done there your FP for Grizzly River Run should be valid (note that this attraction does have a Single Rider Que and if you can not handle stairs they can take you through the handicap exit to put you in the Single Rider que).
If you would like a break, see Golden Dreams (if the show is starting soon, this show isn't too exciting in my opinion, even though it has Whoppi Goldberg in it)
If you want to do Mullholland Madness I would not get a FP or wait more than 5 minutes for this attraction, again they do have a single rider que, but this could be done next. Not the Ferris wheel doesn't have a single rider que, but if you want a non-swinging gondala the que for that is at the exit and is usually much shorter than the swinging gondola.
I would then go and get a FP for California Screamin' then ride the Carousel, then the ferris wheel if your FP isn't valid yet, then ride Screamin' as soon as it is valid, then go on Maliboomer (single rider que if the line is more than 5 minutes, this is also one of those attractions that you can easily bypass in my opinion)
If you wish to do the Orange Stinger, be sure to show your GAC so that you do not have to climb the stairs, this also makes the wait time much shorter, if there is one.
If you wish to ride the Golden Zeypher be sure to pay attention to where the wheel chair signs are go through the gate and use the lift.
Then go through to the Tortilla Factory (esp. if you are celebrating a Birthday as you get a free pack of toritllas) and the Bread Factory, which both give free samples to everyone.
If you wish to experience the Golden Vines Attraction (something that I have no interest in personally) now would be a good time, then go to see it's tough to be a bug and any of Bug's Land that you would like to see.
Now also you should make sure to note when the High School Musical is, if you want to see it, plan it in, otherwise try to avoid the areas that it is in. Same goes for Block Party Bash and if the Electrical Parade is running.
Assuming there is no Electrical Parade you should be able to do the entire park in about 5-7 hours, depending on time of the year and how busy it is the day you go.
This is just my recommendation as someone that uses a GAC and likes to try to do all that I can at times, most of the time I just pick a couple of items at DCA that I want to go on and do them then head over to DL. Note you can easily cut anything out that you do not wish to see above. I would also eat lunch between 10:00-11:00 AM or 2:00 - 3:00 PM and Dinner between 4:00-5:00 PM and 6:30-8:00 PM Word to the wise most restaurant close by 8:00 PM and you will be stuck for food if you do not eat by then, there are a few exceptions, but this tends to be true at DL and DCA.
At Disneyland the only issues may be Buzz Light Year and the Monorail, with Buzz Light Year get a FP, with the Monorail if you can't stand for the length of the que talk with a CM, do no attempt to board the Elevator before doing so, as the whole setup there has changed and they will make you go back down to the end of the line as there is now a very long ramp to take you to the loading platform, which has also changed a lot.
Ok, sorry to make it so long winded, but hopefully this helps out some.