@shewolfnm,
Good morning, shewolfnm
I agree with you completely about unnecessary chemicals; however, in even a private pool, you need a bit of something akin to chlorine. When I was a sophomore in college, the gym had the largest above-ground pool in the world--and a swim team with a 40-year winning streak. Because of the heavy use for swim practices, the chemical levels in that water were tested several times a day. We are talking major swim-freaks! Despite these precautions, I caught an infection in that pool that made me deaf in one ear for an entire month. Ever since, even though I was a life guard, I have been wary of pool water. It's not just little kids peeing in the pool; actually, that's fairly clean liquid. Kids take an undeserved rap! It's the germs other folks bring in by not being required to shower thoroughly before entering the pool.
Your suggestion of olive oil is good. You might find that sesame oil goes into the skin more easily--and is a bit less expensive. I promise that it won't smell at all five minutes after application. This tip was passed to me by a really good licensed masseuse, who keeps both my wife and me as active as we can stand. Winter really dries one's skin out.