We have white (Cal White), red (Cherry Red), gold (Yukon Gold), and Purple (Purple Majesty)
The idea is that you form a cylinder of wire, you line it with straw, and put some dirt inside, on top of landscape cloth to keep the taters from burrowing into the dirt beneath, and to prevent moles from coming up and eating your taters. Keeps pernicious weeds out too; there are buttercups in this part of the yard.
Come end of the year, pull the wire out, pull the taters out of the heap of dirt, and compost the straw. These are starting out poorly: my straw is a couple of years old, and pretty well composted already. I have a layer of composting straw on top of the landscape cloth, under the dirt, and it does a pretty poor job of lining the wire cages.
I 've put in two layers so far; I've reserved a few seed taters for adding a month or so from now.
I have another place for the fingerlings, and I probably ought to learn something about them before planting them.