I agree with kip on the IDs. Usually a positive ID of species orchids requires close comparison of all plant parts with a botanical description of the species, but there are some species that are very distinctive. Nothing else looks like them. Fortunately that is the case here.
"Miniature" is not an official classification. It generally refers to orchids that have small plant habits. I believe Rebecca Northen in her book on miniature orchids considers anything with a vegetative growth of less than 11 inches to be miniature. The term is relative though because even though an orchid may have mature growths that are tiny, it can spread out and form a large clump. For example Phrag xerophyticum is a small plant, maybe only about 5 inches high with a leaf span of maybe 5 or 6 inches yet I have seen large specimens, probably 40-50 growths spread out over and fulling in 24-inch saucers.
Your orchids look healthy and happy. Your Leptotes looks like it could be ready for a bigger mount. You dont' have to remove it form its current mount you can just wire the current plant an mount to a new, bigger mount and let it go. The plant will spread out over the new mount. Since it is growing well on the tree fern mount I'd recommend the new mount also be tree fern. Other than that my advice is the same as kip's: whatever it is you're doing, just keep doing that.
