Elaine and Ursula - Thank you for your reply. I did a little online research and found a few helpful sites and a video. It was pretty much as you said to just cut the keiki from the mother plant. BTW - I like that term, too! It even sounds like a word from Hawaii.
All of my orchids are under a roof on my screen porch. They are on a shelving rack or lined up in a wicker plant shelf. I have no place to hang them if they were mounted. Squirrels would probably destroy them as well if they were outside. So all of mine are potted up and inside the screen porch. I cut the two keikis off the mother plant and potted them up in bark and orchid moss, watered and fertilized them, and set them on the shelving unit (right back where they were). And I separated some other orchids and potted them all up. I now have double the number of orchids after splitting them all up and repotting each one. It's a good thing I did, as all of them were root-bound in their pots and had a lot of dead roots that needed to be trimmed away.
Before separation:
After separating the keikis from the mother plant:
These are some of the other orchids that I divided and repotted. They all look much happier being repotted:
