hotel parking NO

We plan to drive to NO, we have a reservation at Hilton Riverside. What are our parking options during our hotel stay? If possible, we'd like to park at a location that gives us the flexibility to use our car during those two days, if we choose to.

I'm pretty sure we plan to use Fulton Garage during our cruise and know that we could also park there during our hotel stay, but once its parked, it's parked, right?

Thanks much,

Robin