First, the mulch method. This is a no-dig approach, based on covering the ground with a layer of mulch. We buried potato "seeds" about one foot apart from each other, then hilled up the successful plants with leftover mulch.
So far, it works:
Second, the old-fashioned trenches method. We dug deep trenches, interspersed with high rows. Potato "seeds" start at the bottom of trenches; we hill up thriving plants with dirt from those rows.