Power washing the house leaves paint chips in the run

Today was day #1 of the house painting project.  To be clear, by "project" I mean "paying someone to pain the house." They guy came to power wash and I moved the hens to a temporary pen out by the garage.  They seem happy and unconcerned.

I, on the other hand, am now a little p.o.'d about all the paint chips in the chicken run.  I don't know for sure if there's lead in our paint, but seems safe to assume there is.  I asked the power-washer to tarp the chicken run and he did, but not that well.  It's pretty well covered in 3-molecule pieces of paint.

So now what?  I haven't moved the hens back to the run yet.  Andrew's on his way home from work.  Maybe we'll just swap out all the mulch from the run and start from scratch (no pun intended).  Ugh.  What a pain in the butt.  But I've just spent 20 minutes scaring myself by googling "chickens + eggs + lead paint."  It's probably worth it if we don't want our future offspring to have lead poisoning, to say nothing of the poor chickens.

I also read here about getting eggs tested for lead levels.  That could be an interesting science experiment.  I may start bothering the extension office for information on getting eggs tested in Columbus.  If I find anything, I'll post.  If anyone else knows, please share.