This is the formatting I generally use for my prop documentation.
I keep them as live/working google documents and save as dated PDFs throughout the process.
(These are from a postponed production, hence all the missing information)
Prop List with Photos
Weapons & Fight List
I like to work with Stage Management to create clean and labeled spaces backstage for props. I also recommend spiking out spaces on Grip Shelf Liner for easy transportation and to reduce the sound coming from backstage.