Though they are epiphytes, they can be grown mounted or in pots. I have them growing both ways. I prefer the mounted plants simply because that is the way they grow in nature and their fronds cascade more naturally when growing upright. They are extremely easy to grow, only needing good, indirect light (no direct sun unless it is early morning or late afternoon), watering every week when then they are young (and then even less so as they grow), and 1/2 strength, general purpose fertilizer in the early spring and again in mid-summer. That's it! Be advised that I send complete care instructions, that goes into greater detail, with all my plants.
The two pics you see are of only two mounts. I have lots of other mounted and potted staghorns. The price can be as little as $12.95 + 9.95 shipping, all the way up to well over $50 + shipping. It just depends on size/age of the plant, whether it is mounted or not, and the mount. Please contact me if you have interest or want to see pics of other staghorns I have.
P. S. We have a cat too, so I know exactly what you mean.
Ken