Sometimes the advice of an outsider helps put things into perspective. I hope this does that for you.
In my opinion the kids are just looking for a place where they don't have to follow so many rules. School is nothing but rules. If home can be more relaxed the kids will have happier times at home. I'm not saying to let them get away without picking up their toys, but I am saying that it shouldn't be a big deal if they put them in the wrong place/shelf/bin etc... So long as they are attempting to pick things up.
I am a big believer in the "teach by doing" not by so much telling. I believe that the things I do will teach my kids by "leading by example". So I try to point out what I'm doing every time I'm doing it and if it annoys them then maybe they'll take action to keep me from saying it.
For example: I'll say, "Look, I'm picking up so-and-so's toy again, (sometimes a little competition between kids can help)I sure wish this person would pick up after themselves so I don't have to", same with dishes. My kids are teens now.
I'm not saying they are anywhere near as neat as I'd like them to be, but then I just have to remind myself they are in my home temporarily so I should enjoy them while they are here. I'll miss there little messes when they are older and moved out. I have to remind myself that a clean house is not as important as the magazines let on. A clean house means I don't allow enough time for play and relaxing. If we can't relax at home where can we? Kids need some play time while they are young. There will be plenty of time to teach them to clean up.
My husband hates when I cater to my kids, and I agree, I don't really like to pick up after them especially since they are in high school now. And it takes a lot for me to let my daughter leave her room messy. I've learned to close the door. But every opportunity I get, I remind her to clean it. When she wants to go to a friends house, "Is your room clean?" it's hard to remember to do that. IT works though. I've stopped nagging so much, and had to remind myself that no one is coming over so it's ok to let it go for a day if I need it. But it is dangerous to have things strewn about the floors, someone may trip. So I point that out. My floors are a big OCD (Obsessive Compulsive Disorder)for me. Nothing on the floors please! I hate tripping! So the counters and tables sometimes get a bit piled up. But I need a break now and then too, so I'll sit down and say, "Would you please take your stuff to the kitchen, bedroom etc..." they do it. I also still make them little meals, fix them for them, because I know when I'm at work my hubby is too tired to do it so he makes them fend for themselves. I'm their little "mommy" still, and I'm soaking in as much of this as I can while they still live with me, but I keep in mind one day they'll be moved out and then who will do their bidding? They'll have to fend for themselves and I may be making it harder on them by doing it all for them, so I teach when I am up to it. And when they are gone who will I get to nurture? I'm trying to enjoy it while it lasts even if it seems like they take advantage of me. So long as they are noticing the little things I do for them when I am not home it's cool. IN May I go to Vegas for four days with my sisters and mom (mother's day and her 70th birthday) so they'll have to do without me a few days. It really makes them aware of all I do when I'm not here. Maybe you should take a mini vacation some day soon.
I don't know if this helps you in any way. But I must say, I like the way you organized it all. I used to try to do that too. And it does help in the long run. My son keeps all of his things in particular places in his room. He picked up on my organizational skills. My daughter rebels against it, but every now and then I help her clean her room and try to show her how it doesn't take but 5 minutes to make it look really nice. And how nice it is to enjoy a clean room. Just because she doesn't share my urgency to keep it nice in case friends come over doesnt' mean I have to stress about it. That's why her room has a door. ;) hahhahah
I still really hate it when it gets really bad in there, I can't even put her clean clothes in her room since there is no space to set them neatly and they'll end up on the floor. So when it gets backed up bad I still nag... she's slowly getting better and less rebellious about keeping it clean.
My two are 14 months apart so I remember those toddler days and how messy it would get. It was like having twins! I'd get mad stepping on toys.
Anyway, I think one big dump bucket is just as good as several with labels. Just get one big dump bucket with a lid. It's easier and may be more incentive for them to pick up if they don't have to read the labels. ;) Just an idea. Why make it so hard on yourself?
Take it easy! :) They'll catch on one day. Then poof! They'll be out the door. Showing them how to clean and organize can be a good thing, but too much information may make them run the other way.
Love,
Val