I keep my phalaenopsis orchids on a bright east-facing windowsill over my kitchen sink, & they’re nearly always in bloom year-round. Do a little research on them. Keeping them in bloom is really very easy. I’ve also had excellent luck with miniature cymbidiums & oncidium orchids in the same location, although those don’t bloom as continuously as the moth orchids - they’re more seasonal.
But if you visit a few orchid websites &/or peruse a few books, you’ll find it difficult to not find one or more orchid species that will fit into the locations you have for them.
Oh - & while cats pretty much leave my orchids alone, one cat of mine has “pruned” off a blooming flower stalk - grrrrrrr. Didn’t eat it or anything - just snapped it off.