Family of 3.
We have one sorter. It has three sections: whites, mediums, darks... which loosely correlate to warm, cool, and cold wash settings (all cold rinse). Sometimes a load is bumped up to a warmer temp, depending on grunge factor. LOL Everyone puts their clothes in the appropriate section on a daily basis. DD learned her colors by doing this for all of us when she was younger.
We own one laundry basket. Each morning, I use the laundry basket to carry whichever load is full (whites, mediums, or darks) downstairs to the laundry room. As the load is washing, the laundry basket sits atop the dryer. When it is finished, I use the sides of the basket to hang any items that don't go into the dryer so they can air dry. These are easily found because we use mesh bags for those items. I move the basket to sit atop the washer while the clothes are drying in the dryer. AS SOON AS THE DRYER FINISHES, I take things out and hang them on the sides of the basket or fold and place them in the basket (depending on how the item is stored). I don't put clothes into the dryer unless I plan to be home and available to do this step. At this point, the clothes get put away whenever I go upstairs again, which can be right away or can be before I go to bed and everything in between. I don't worry about that part because it has to be done before I can do another load and that happens every morning.
I usually do four loads of clothes from the sorter each week. Mediums are higher in the warmer months and darks are higher in the cooler months. Sometimes whites don't need washing every week. If I don't have enough for a full load of clothes, then I either wash sheets or towels or rugs. Rugs get washed infrequently and are line-dried. Bedding is also line-dried.
I have six washcloths and I use a fresh one each morning in my shower. It air dries across the top of the shower door and the next day I move it to a wicker towel bar. When I am out of washcloths, then it is time to wash our towels. There is never a mess of dirty towels and I never forget to wash our towels anymore. I toss them all onto the bathmat and carry them downstairs that way. I only dry them partway in the dryer and then hang them back up where they belong. The washcloths get dry in the time I allow, so I roll those back up and place them on the wicker shelf (above the rod where the dirties await washing).
Bottom line for me is one load gets done every single day and by done I mean completely done: washed, dried, folded/hung, and put away. One load is a manageable amount of clothing, even the dreaded socks and undies.
Something I didn't see mentioned and wanted to note... Laundry is a LOT easier to maintain if you have a reasonable amount of clothes and linens. Most people tend to run into trouble when they have so many clothes that they CAN go 3-4 weeks without doing laundry. That makes for quite a chore when you finally get around to it.
On the opposite side, I ran into a bit of trouble by having too few of certain items and was scrambling to wash a specific load by a certain time. For our family and my laundry habits, I have found two weeks of real world clothing is the best balance.