They are Oncidium Alliance Hybrids. Thousands of registered crosses and variation within each crossing make ID's difficult. However, if your orchids are widely grown mericlones (copies) you might get lucky by looking at images on the internet.

Cool- at least that narrows it down! I find it strange they are grown in dirt or something that simulates dirt. I have a bark mix that I would like to put them in but would it be too much of a change to do that?

Ooopss, Judy is correct, the one on the left is Zygopetalum.

Great info! The zygopetalum has a scent, I'm so excited! I'm in NE OH, so repotting will be an odd timing. Watering info is good to know. I don't know what current type of medium this is- it's not regular potting mix but there's no bark. It seems very moist to me.

Zygos are usually scented and you've got a nice lovely one there. Of course the thing with constant moisture in a dense mixture is root rot. Although it's not spring....It may be to your benefit to repot as soon as they're done blooming. Though I have one dendrobium that is the single exception to my repotting...It's in a soil similar to what you're describing and I haven't repotted it yet, though it's been a couple years (yes, my bad). It's tripled it's size in that time period so I'm being a bit of a wimp...don't badly wish to disturb it, LOL! Enjoy your plants!

Yes, that's what I'm thinking for a repot. I know you're supposed to follow a rule of thumb for timing, but sometimes it just comes down to: will the plant survive the winter if I wait? I think you're correct judyj, it probably wouldn't. Plant "purists" might argue, but I'm in this for the long haul, not just pretty flowers today.

The bark mix I have has larger pieces, but I can easily break them into smaller pieces. And hey- I understand waiting for a repot. I just did both of my phals and had waited because of the same reason you're waiting on your dendrobium. Now I'm glad I did though, they look much happier.

Are the beallara a type of diva orchid? Or are they pretty easy?

Beallaras are a conglomerate of several different orchids. One of those is an oncidium or an odontoglossum-I've heard both used interchangeably but they're not the same. Here's a wikipedia link: https://en.wikipedia.org/wiki/Beallara

Either way, it's a pretty easy orchid really, but I think they really enjoy some fairly bright light (more so than the zygos). In my mini greenhouses, facing south, I keep the catts and beallaras (I have several) closest to the windows, then the oncydiums and then the zygos furthest away. They're very cheerful orchids!