Take there phones , blast some fun music , have a list for each that they are responsible for cleaning, when it’s done you can return the phone to each when completed
I agree a pizza party once everything is clean is a wonderful idea.
Now between now and the inspection they must maintain things to be clean or I’d be taking phones away again.
All your kids are older enough and able to keep there home neat clean and orderly.
Snap that whip
I squirt cleaner into the the toilet bowl let it sit and do its job.
I keep a container of Lysol bleach ready to use paper cloths things in The bathroom and once a day I use one to wipe off counters, shower and or tub and lastly the toilet, it might take me 7 mins a day total , but my bathroom is always clean and it’s not hard at all. As your walking out the door, scrub the bowl of the toilet and bam it’s done.
Working smart is the real goal.