There is Supershuttle at www.supershuttle.com they are like Mears Shuttle 3 stops before getting to your motel. I think they are approximately $15 per person perway.
There is also a bus but I cannot remember the name of that bus from LAX. Maybe someone else can.
PS Mary
I love your site. I look on it everyday to see if you have any information on AP's or any specials for January 2002 at WDW. Keep up the GREAT work.
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