Just received a basket of fresh picked red and white potatoes from a farm in Erie PA, dirt still on. So I wash them befer storing?

Besides not washing and storing in cool dry, place, also prudent to remove any potatoes that have green areas. When potatoes get a sunburn, they turn green, a marker that toxic alkaloids have accumulated on the surface. I either discard these potatoes or use immediately peeling deeply to remove all the bad stuff.

Amen.
Unwashed, cool, dark, dry in their sacks----but also humid as to the surrounding air, as in a basement. That way, they will keep until March, when they will sprout, even in the dark.

Do not wash the potatoes. They provide a protective coating. This is not just for potatoes but is a good rule in general for storing vegetables.

…and away from your onions.

I wouldn't wash them before storing -- if they're very dirty, brush off the clods with a brush, but keep them totally dry.

They'll keep the longest in a cool, dry, dark environment. Imagine a root cellar!