Scoop them up on a piece of paper, and place them somewhere that isn't cold and wet, or move them into a plastic container and cultivate them yourself by placing them on damp paper and leaving them.

I had a pair of little brown moths flying about in my house and they've laid some eggs on my window.   The moths were brown with a little bit of orange under the wings, Vancouver B.C. if it helps identify them.   The eggs started out pale yellow, then turned orange, and are now brown.   I don't want to kill them so how can I safely move them outside?

Question: A moth laid eggs on my inside window, how can I safely move them outside?