If you're not far away in the valley consider Uber there and back home when you return. Great stress reduction to not have to worry about the lot being full, it does happen.
They normally don't fill up
We flew out Thanksgiving day and the structure was full but they had plenty of overflow parking still. Get there super early just in case u have to look for another place, like at LAX.
The parking ramp fills up during the holidays and you won't find $5 a day parking nearby.
Whenever I go there is plenty of space, but check Maps for alternates to be safe!
Honestly i dont knw. If i was in ur shoes ill call to find out.
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