Would like to see a similar idea for caring for bees that we have for plants.  The sprinklers are invaluable for our mass plantings.  (Thank you so much for them!)

I suggest someone/something called a "Bee Keeper".  (Could look like a miniture-sized NPC in a bee keeper outfit, or maybe just a bug catcher net graphic).  We could "prime" him/it with the daily necessary potions to keep our bees thriving.  After priming and with a simple daily click the Bee Keeper can then autocare for our bees on all floors with the water and potions they need to thrive.  Also, a link could be made between a water trough and the Bee Keeper to keep the endless supply of water our bees need. It would still be left up to us to collect the raw beeswax & honey, including buying the tool we need to do that, and the flowers will still be needed nearby for the bees to collect pollen and make honey. 

Could look like a miniture-sized NPC in a bee keeper outfit

I have three but didn't know there may be a minimum you needed.  Can't imagine why only one would not work if you had the potions, water and flowers available.  It seems I remember reading on the wiki in the Vesper Bee shop those three things were the only requirement. Now I'm wondering too...lol