Picture posting is enabled for all :)
we use kiddies toy boxes with lids (from b&m, I think), filled with potting compost, done it this way for years, plus we do celeriac, parsnips, swede,beetroot, really worked last year, saved struggling through the snow and trying to dig up stuff out of rock hard soil ;D
I know it's unPC but I have had great success storing in peat. The peat needs to be slightly damp.I used tea chests & layered the carrots without touching root to root. Lasted throughout the winter if stored in a cool dry area.
we use kiddies toy boxes with lids