Under the mall the first two hours are free
There is no free parking unless you park in a neighborhood. You can park under the mall, but I think you may have to buy something in the mall.
City Creek is two hours free parking
Yes, free parking for museum patrons in the lot directly behind (west of) the museum anytime the gate is lifted, which I think is after 4. Call the museum to verify. They also have a map on their website of all the available parking lots and metered street parking.
When we went, we were able to park on the side of the street right next to the museum. I don't know if it was necessarily the museum's parking though.
You might try to park in the basement of the LDS Conference Center some days its free. There is also a parking lot just to the north on North Temple and West Temple that is $2 / 2 hours
No
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