Yeah, the problem is going to be the handles of those measuring cups.

You might have luck with longer hooks.

I wonder if these double hooks would be more secure, with the handle going between them? https://www.harborfreight.com/pack-of-2-3-inch-double-straight-pegboard-hooks-65473.html

Here’s a huge set of hooks. Not that you need this many, but look at some of the styles of hooks. https://www.amazon.com/Pegboard-Assortment-Organizing-Storage-System/dp/B07V223B9W

You also might try a basket.