Is it better to wash eggs before refrigerating?
I would personally avoid washing the eggs.

The problem is that wet eggs are bad.  This goes for both Europe, where the eggs are sold unwashed, and in the US, where the eggs are pre-washed and refrigerated.

If you did wash your eggs, you need to get them thoroughly dry afterwards.  Otherwise, you will do harm to the eggs.

If you're buying unwashed eggs, you could use a dry brush on them before you stored them, but I wouldn't recommend anything more than that.