If you dig them up with a clump of soil around the roots, then rest the tubers where they can slowly dry without being frosted, after a few weeks the remaining stems fall off and the stem scar dries.

Be aware that soil will hold its moisture for a surprisingly long time so be prepared to move the tubers to let the air get to each part of the root zone 'equally' . As it dries out the soil will fall away.

I usually store my tubers in those polystyrene trays with lids that are used for shipping grapes. They have good aeration.

Because I like to know 'which colours and growth patterns' - I use actual sheets of newsprint ripped in sections and add a label as I'm wrapping.

Having a small amount of old soil still on the tuber seems to do no harm provided the store room is dry. When spring comes I use an ancient toothbrush to gently brush off the remaining roots and soil before the tubers start to sprout.

It certainly pays to keep a watch on the tubers. There is always one that decides to become corky and defunct over winter. Often it is a small to medium one (usually the nicest one from the past season - but that's gardening!)

If you know you'll need to move your container of tubers, or you will be storing several of the same colour/growth style they should come to no harm from being stored in shredded paper. There may be a slight risk later from nudging new shoots loose as you retrieve the tubers.

Take precautions against mousies - and any insects you know cause harms in your zone to overwintering plant material.