Does the theatre have a parking lot? How much does it cost to park?

There is a hotel across the street from the food that allows parking for events. It's more expensive but more convenient than other spots. They have a covered parking garage that is guarded and protected which is worth it considering the other lots.

I take a Uber to the fox theater

Yes, there are a few parking lots close by. It costs $12-15 if you prebuy online. Up to $40 if purchase tickets at time of show