Noel, from the leaves and stems I'd guess that orchid is Arundina, commonly known as the "Bamboo Orchid" since the foliage looks a bit like bamboo. It's a very nice terrestrial orchid that blooms for long periods and will increase into a lovely decorative clump. Don't pick the flowers off the top, it continues to lengthen the stem and put out new flowers at the top.
You've got some lovely begonias there. They will really like the cooler temps at altitude down there, though. Mine tolerate the summers here, but really take off and bloom when the nights cool off through the fall and winter. I keep mine a little cooler in summer by putting the pots right against the glass sliding doors to my patio. Cool radiating from the a/c inside keeps them a few degrees cooler at least.