I keep mine on a pegboard, too. Bought inexpensive curtain rod rings, and it works well!

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I bought one of those circular ones that you just thread thru the hole and hang it on the back of my door.

I store my rulers in several drawers.

I have a pegboard in the closet of my sewing room. It holds my rulers, embroidery hoops and my cutting mat.

My daughter bought me one of these a few years back that I like & use. I store it on my sewing table but sometimes it's in the way so I have to move it. I only have a few rulers so it meets my needs.

https://www.amazon.com/Omnigrid-WRR-.../dp/B001IKGEWY