To keep my lids to my pans organized, I purchased a wire dish drainer and placed it in the cupboard beside my pans. I slide the lids in the slots the same you would do for plates and I no longer waste time and cause a lot of racket looking for the right lid. If some lids are too thick to fit into a slot you can remove the wire that holds the lids/plates into place to make it wider.
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I found an old ladder at an antique store for $5. I painted it and hung it from hooks on the ceiling in the kitchen. I purchased screw-in hooks and put them on the rungs of the ladder and on the outside to hang pots, pans, and other kitchen items.
I hate looking for things in a crowded cupboard. I fought "lids" for years. One day, I put a drawer silverware holder in the cupboard and simply placed my griddles and lids sideways in the divisions and have had no problems with them sliding around since then.
After years of struggling with my pot lids, trying to find the correct one, I used an old office file rack to organize them. It's great! They don't get lost in my cavernous cabinet and I always find the correct lid easily now.
When trying to decide how to handle all the lids and bowls, pots and pans, always group by shapes. You will get more storage that way and a lot less hassle and mess.
Bubble wrap can be used to protect pots and pan from scratching each other while stored. This is a page about use bubble wrap to protect stacked pots.
This is a page about hanging pots and pans. One way to better utilize space in a kitchen with limited or unsatisfactory cabinet space is to hang your pots and pans.