Litter tracking- multiple cats

I'm new here, first post, so please forgive me if this is the wrong place. I skimmed other subforums to gauge where might be the best place to post this.

A little background: I have six cats belonging (or rather, room sharing- seems I'm less the owner and more the caretaker haha) to me and one belonging to a roommate, making it seven total in my house. I never imagined I'd end up with this many, but I've managed and am capable of sorting out or dealing with a number of cat health/grooming/behavioral issues through experience and with the help of friends who work in animal rescue.

The problem: My cats track litter EVERYWHERE. I know this isn't uncommon and for years it was as simple as sweeping frequently but as my feline family has grown I've realized I have got to put some preventative measures in place.

I've googled this issue to see if I could find a simple article listing various ideas I could apply or build a new idea from but everything seems overly simplified or geared towards families with maybe one or two cats.

Suggestions I've found have ranged from:

Changing to a heavier litter such a pellets or Crystal (being a single parent with limited income and multiple cats I can't afford this switch).

Putting down rugs or mats to trap litter (my floors are tile or stained concrete throughout my house and when my cats see a rug anywhere at least one will not be able to resist peeing/popping/barfing on it as soon as it touches the floor).

Litter box types- we have lidded AND open box options for the cats to choose which they prefer so that can't be changed.

Constant sweeping/vacuuming of the area- I think it goes without saying at this point that between work, child rearing, other chores and errands, I literally do not have time to follow my cats around vacuuming the litter trailing behind them (not to mention the patience for it).

I have a few project ideas in mind, including furniture to hide boxes that would also trap litter, to a catio I hope to build off my back door that would allow me to house some boxes outside (assuming the cats can adapt to that) but those are more long term projects that require time, funds and planning forcing me to log them away as future projects and not immediate solutions.

My mother used puppy pads around her litterbox (she had two cats) and it worked well for her but I don't like the idea of pouring money into more disposable, plastic products that cannot be recycled or composted and have to be simply tossed out and replaced.

I know this is a long shot but does anyone have any ideas or advice? Anything at all would be appreciated!

Would they eliminate on plastic mats like they would on rugs? Back in June I found a mat from South Korea that looked very promising:
Blackhole Cat Litter Mat It's been quite a while since I wrote that review, and the longer the mat has been in use, the more impressed I am. You can just pick it up and shake the tracked litter back into the box without any mess. Unfortunately it's very expensive, but perhaps you could make something similar with a hole punch and two thin plastic mats tacked together on two sides?

Ok, what I did with my three litter boxes was take doors off two smaller closets and one under bathroom sink. I put the boxes in there. I put fake plastic grass under boxes then I got strips of wood about two inches high. The cats have to make a small jump to get out...the grass plus induced jump keeps the litter mostly in closets. My closet also have an elevated floor for air return. That helps. I also painted the walls a red color and hung pics since now the closets are part of the rest of rooms aethetically. ..

The strip of wood is at bottom of closet floor opening if you can picture that?

If you can convince your cats to use a non-clay litter, you may have less tracking using a corn cob based litter which is actually horse bedding which you can buy at Tractor Supply for $8.99 for a 40-lb bag.  (There are 3 Tractor Supply stores in Austin.) I have multiple cats and although it's not trackless, it's a LOT better than any clay litter, plus it is healthier for them, easier to clean, and less expensive,  It's called BestCob Premium Horse Bedding.  It "clumps" for easy cleaning, but they are soft clumps, still easy to scoop out.  It swells rather like pressboard does when it gets wet.  You never end up with "mud" on the bottom of the box either.  Even if one of them pees in a corner and totally saturates it to the bottom, it does not stick and is easy to dig out. 

I'll have to check out that horse bedding, my cats are NOT picky about litter, I've changed it about a thousand times looking for something I liked. What I like about the litter I use now (Scoop Away) is that it's the best at clumping AND odor control and the process I went through to decide on that makes me hesitant to try anything new but I would be willing if it meant litter not being tracked everywhere.

I'm probably asking an impossible question, I know a lot of cat "problems" are just things that come with having a cat at all and really add up when you have this many. I can deal with cat hair, scooping boxes and every other mess but finding litter in my sheets is the WORST.

Thanks for all the replies! I wasn't expecting this many so quickly, I thought it might be a lost cause. I'll definitely update if I get this all figured out!