Model from the beginning this is “our classroom”. Have students do things daily like pick up the floor, clean the tables, stack chairs. Assign a librarian to your class library and train them to organize it. Your custodian will appreciate it and your students will become more responsible.
If there is anything a parent volunteer can do at home ask. I have pencil sharpeners, laminators, cutters, and party volunteers. They make it fun and I just give a couple suggestions.
Set a timer for 15 minutes every afternoon and put things away that are left out throughout the day. If time is still left sharpen some pencils or organize a drawer.
Create a weekly schedule and stick to it. Mondays are for parent contacts, communication, sending home weekly and monthly news. Tuesdays I plan with my team. Wednesdays WE tackle copies and resources needed. Thursday and Friday I grade and organize materials for next week. I leave Friday knowing I am ready for next week.
I agree with Nora that student agency is the key to keeping the classroom organized. After a time of doing it on their own, they will find easier and more efficient ways to do the tasks. For other organizations tasks, I am a proponent of label makers. I label every cabinet and shelf so I am not thinking about where I put supplies and such.
I have classroom jobs. I train the students with their job and also a few substitutes in case someone is absent. This way I am not having to do everything and the students keep everything organized. Here are some of the jobs I have for my 3rd grade class:
Pencil sharpener
teacher assistant
IT person ( passes out and makes sure computers are charged)
Paper filer
Librarian
Clean up
Set up
During pre planning I make sure the room is set up to help these individuals with their job so they can be successful. This really helps me out.