Spider Mites on Other Plants

[butterfly_muse]

Evening, guys! I currently live in a small apartment so all of my plants are huddled on a small table next to a south facing window. This evening while I was looking them over, I found what I believe to be the beginnings of spider mites on my begonias. I know that I can treat this by wiping/spraying the leaves with water and dish soap, but I will have to do it to all the plants.

I am fairly new to orchids so my questions are: 1) can the mites infect the orchids (though I have no reason to think they wouldn't) and 2) is it safe to put a diluted soap/water combo on orchid leaves to pre-treat or catch what might be there?

And are there any other avenues (pesticide or natural anti-bug stuff) you might take this issue?

Thanks!