Ok, I got these things, pretty quick to find them- searched Amazon for diaper caddy and really like the one I ordered especially because it does have a zip top, more pockets than a lot of the others, and removable inside organizer. https://smile.amazon.com/gp/product/B084G8VB9M/ref=ox_sc_act_title_1?smid=A119ZEG1KHW8YT&psc=1
I also searched pottery tools caddy or organizer and found these for less than $8! They look like just what I want for many of my tools, but I didn’t think one would be enough so I got two, especially because they were so cheap (of course that may mean it will fall apart right away!). But if I like them, I could see myself even buying some more for say glass tools or wax tools etc. https://smile.amazon.com/gp/product/B01IIGLH22/ref=ox_sc_act_title_2?smid=A23ADOZFIJNPFB&psc=1
Thank you for the help, I’m going to keep the link for the future. I did end up going with two rolled double layered (as in a top and bottom section for putting in tools) canvas paint brush organizers, which most tools fit in but there wasn’t room for all of my paint brush sized tools so some I kept in the plastic cases they came in for now. Will probably get more paint brush organizers, since they roll up, especially since I didn’t even have room to put my actual paint brushes (since the studio paint brushes are crap for anything delicate or nice) and a diaper caddy, which is really nice. It has some extra pockets for putting my sponges, another one for putting all my ribs in etc., and then on the inside I can change the interior’s dividers easily to put my notebook on one side with some extra tools, and the canvas roll ups and surforms and stuff on the other side. It has a roll over zip cover unlike most diaper caddies which also can roll back using Velcro depending on how much you want exposed, which is very nice. And it has handles for carrying plus a very nice leather strap for carrying with a strap. Most diaper caddies on Amazon at least do not have tops/lids so I really love this one! It really calmed me down and made me very relaxed and happy for the rest of the day to spend time organizing this!
https://www.amazon.com/dp/B01IIGLH22?psc=1&ref=ppx_yo2_dt_b_product_details
https://www.amazon.com/dp/B084G8VB9M?psc=1&ref=ppx_yo2_dt_b_product_details