Those "First Aid Kits" sold as a kit-in-a-box are virtually worthless. Sure, they've got a "lot" of components but do they have what you need when you need it?
Make your own.
Ours is a smaller version of "Papa's Operating Room" box here on the farm, a largish plastic box with small bottles of peroxide and alcohol (rubbing alcohol, the good stuff is in a separate cabinet), assorted boxes of bandages (band-aides but not necessarily that brand), different size gauze pads, tape, etc etc. You got the idea.
FWIW, no gloves. Neither DW or I have a worry about treating anyone in the family and getting our hands bloody. If any one of us has a disease it's highly unlikely that any of the other of us doesn't have it too.