WinnieThePooh – small family. We only use about 5 trays of eggs. I bought these stackable plastic egg trays so I wash all my eggs and put them in these trays (they hold the eggs just like the carton ones but they are not ruined by the wet eggs and they let the eggs dry (they are also clean). I lower my egg shelf in the fridge and put the pile on it. I use a bunch of the eggs right away, boiling them, baking, etc. before Pesach, so probably one tray doesn’t have to go there.
If we were a larger family I don’t know what I would do with all the pre-washed eggs…..