Laundry box tower or similar idea?

[Kenclucky]

Think I'm looking for the impossible! We want a unit for in our utility room that has laundry bags/ boxes for the clean, dry washing to go into sorted into each person's piles- that can they be removed and carried upstairs in the box / tray / bag. Needs to be a tower not side by side due to the space available. Can anyone think of anything?

Just get a wicker basket storage unit?

https://www.amazon.co.uk/Natural-Hyacinth-HandWoven-Storage-Bathroom/dp/B01LZYCM45/ref=sr_1_5?crid=2K0R091BPAVW9&dib=eyJ2IjoiMSJ9.VkNhLbW15731ts3XcCszEV4B_6XKO8Ezoxdor3iKzwCgfQZ0Ki0ET2TtXQIVKnqJ4mfRKTSBbgmEr0rEfHS6ecl-UjRhyKSVF-uigWnwyn_2hkGo7hZilCVzj_PVGj4gBDkq4eNRVGFjkzyxnk1hTvm_iwN4vmvONikbDVrhbXcNQSpdw2pfQi8_uUhQAGt78_3AnjHWM47rqMMQ_Nl7bn4ybtiPZIVPGMgRjVs2n9MWvOVY3gNCSsabpXgQlVb8DqhPZAF7HwittXk-TktLGAZxsntEfmIdmd2WjKtHTUs.b7pCqzvRnbm_VDJ5tmjhJ5dGEZGfyQn1MAHbis_5UEA&dib_tag=se&keywords=wicker+basket+storage+unit&qid=1727637951&sprefix=Wicker+basket+storage+%2Caps%2C112&sr=8-5

A tall, think Ikea Kalyx unit? They do tonnes of different types of boxes to go inside.

So tricky part -

Ideally not plastic as it'll be right next to a heated clothes rail.

Those wicker ones all seem to be really narrow and I need it to hold a decent pile of clothes in each basket

Op just google there are loads of them, in all shapes and sizes 😂

You could go for a set of IKEA Ivar shelves (the 50cm depth) and collapsible laundry bags like the Joseph Joseph Hold-All ones (they’re 53cm in the long side which would work with a slight overhang; the shelves can be 40 or 80cm wide so one or two bags per shelf). Not an especially beautiful option but a functional one.

www.ikea.com/gb/en/search/?q=Ivar

www.josephjoseph.com/collections/laundry-baskets?Sort=productList