A spider plant might work for your corner. It likes to grow downwards, which may invite being attacked by your cats. A colleague has a spider plant and two cats, and its spiderlings always become cat toys that are detached from the plant.
I have a graptoveria that produces air roots constantly, mostly because despite having a perfectly good pot and light source, it does its utmost to grow outside of the pot. Every year I have to chop and prop it to save it from itself.
Wait until you pay the credit card bill it all went on! Ongoing maintenance is not too costly, but the initial set up is easily $1000+. And that does not include the fish, live rock, invertebrate, etc. I have no regrets starting a saltwater aquarium (I started it in 2010), but I needed to be at a place in my life/career where that was feasible.
That’s just how cyclamen grow- they’re floppy plants. They like indirect light, so the lighting set up seems fine.
Definitely a cyclamen
Your rose needs a few things: A repot into a bigger pot, and rich, loamy soil. Bonemeal to restore phosphorus (that’s likely why it’s no longer flowering) Slow release rose fertilizer (can be found at gardening stores)
As for trimming, prune off unproductive or bare branches, and cut off dying flowers. I don’t judiciously prune my roses.
I trim the really long/gangly growths to maintain the size and density. You can tell before a frond has fully grown if it’s going to be long. After a while of doing this mine seemed to ‘learn’ to grow shorter and I rarely have to do it now.