Be sure to engage your children. It seems time consuming to teach them to help with tidying up but in the end, it really saves you time. My kids learned how to sort their laundry when they were young. Whenever I was about to do laundry, I would tell them to bring down their laundry (they each had a basket in their room). They would come down and put the clothes in the appropriate hanging bin. (I bought two of those hanging laundry sorters from Target.) I hang almost all clothes since I hate to fold (it just wouldn't get done). From the dryer, they go on a hanger. My hangers are on a tension rod above my dryer. My husband helps put the clothes in the appropriate bedrooms when he sees a lot hanging in the doorways. When the kids were sitting down in front of the TV, I would just dump a basket of clean socks and they sorted them. Easy to do while watching TV. They may not have always gotten the socks right, but it was mostly right.
If you don't have closet space to hang your kids' clothes, then have a cubby and basket that all of their clothes go in when folded that you can keep in near the laundry area. Then your kids can retrieve their basket of clean clothes as they get full. The sooner you include them in helping out, the sooner it will be a habit. You may have to remind them all over again when they become teenagers (the brains sometimes fall apart - ha ha), but have them tell you what works for them when they get that age. Then you can put it back on them if it doesn't work.
Shoes go in bins or boxes. Most kids are better at tossing in a bin then placing them neatly on a shelf.
Books are also easier to stack in a bin or basket then put on a shelf. Constant reminders for where to put shoes, books, toys, etc. will get them organized. They might even have suggestions for you which will give them some ownership of keeping their things put away. (They surely have seen good ideas from school that they like.) Just remember to praise, praise, praise when they get their things in the right place. It is more fun to praise than nag anyway. Reward if necessary with privileges.
Each having their own cubby, bin, hook, etc. will help keep their school and personal things separate from siblings.
Use your crock pot for cooking as much as possible. Go online and put the main ingredients and "crock pot" and you will find many recipes. If you don't have one, go to a thrift store. They seem to have them all the time. For example, you can put a roast, sprinkle with Lipton onion soup mix and a little water and red potatoes (you don't have to peel them), some bagged carrots and "voila" - easy meal. The leftover meat can have BBQ sauce added for BBQ beef sandwiches the next day - if you have leftovers. Or just shred the meat and add some BBQ sauce when you get home to a roast (that has been in the crock pot all day with a little water and seasoning) and let it heat through to make sandwiches.
Dump soups are great. A large jar of salsa, 4 times the water, ground beef or cut up chicken (you can buy in a bag already cooked), bag or two of frozen corn and you have easy chicken tortilla soup. Toss tortilla chips and cheese on top when serving. Some soups are better simmering all day in the crock pot, others are just fine heated up for 15 min.
Even canned soup and some canned biscuits or croissants are easy. You can also buy frozen rolls, let them sit out all day and rise, then pop in the oven. Kids seem to love warm rolls of any kind no matter what you are serving them with.
Double cook when you do decide to make something so you can freeze some in a pan with foil for another day or place in ziploc freezer bags.
For cleaning, get those cleaning wipes and hand them to your kids. They have different kinds for different cleaning purposes. Have them learn now to wipe down the toilet, the counters, the living room furniture, etc. Put the chores in a basket and have the kids pull out what their next job is: wipe the entry floor, wipe the windows in the ___ room, wipe the bathroom mirror, etc. Don't criticize if they have done their best. Who cares if there are streaks? Just teach them to get the main dirt off. Mini vacs are great for kids.
Sorry I got so wordy...