Hang Wrapping Paper Rolls
For this wrapping paper storage option, you don’t even need any tools! All you need is an area with two sides that are far enough apart for your wrapping paper to fit between them. I used the inside of an armoire (this is going to be my new wrapping station when I’m done with it!). But you could also use the inside of a shelving unit or a closet.
Then get some really inexpensive tension rods* that fit the space. Put the wrapping paper on them and expand them out until they are suspended between the walls.
The tension rods work great because you can take them off whenever you need to put up a new wrapping paper. But they are sturdy enough to let you pull the wrapping paper off the roll when you need it.