R.J.
We do them by person (mine, his, kiddo's). We also have a drycleaning hamper, and a socks and whites (hot w/ bleach) hamper. Sheets just go directly from the bed, and towels, similar.
I also haven't folded anything (OR hung on hangers) in 10 years, and my son's been putting his own clothes away since he was 2. I got roundy brushed nickel hooks (single and double pronged) and made 2 rows in his closet. Top row at face level of the owner, bottom row at waist level of owner. Shirts go on the top row, pants and shorts go on the bottom row. He has a 3 drawer plastic "filing cabinet" which is underwear, socks (all the same type, so no matching needed), and pjs. We also have a hanging sweater/shoe cubby that gets used for sports clothes. So his swimming in one, baseball in another, etc.
My closet is similar, although I do have a lingerie chest/tower.
The dirty hampers (canvas) just get upended over the machine when they're half full, washed, moved, and put in a basket. The owner goes and hangs them up. A full load takes less than 2 minutes to hang away.