I had an above ground pool for over 25 years. Over the years I seen that green nasty algae form on the pool walls and cloud the water. The key is to manage the pool water chemistry so that does not happen, but at the same time limit the amount of chemicals in the water that will burn your eyes, irritate the skin and bleach out swimsuits.
Initially I followed the guidelines offered by the pool store and used chlorine tablets, liquid chlorine, pool shock, algaecides, stabilizers, clarifiers, and other chemicals. I focused on the pH level and water clarity and nothing more.
I was talked into using a non-chlorine pool chemical system one year. Safe for the kids, no more bleached swimsuits, or pH issues. Easy to maintain I was told. That lasted only 2 years. Too much work, very costly and really not as effective as chlorine.
Years after, I would just dump liquid chlorine into the pool. Yes, I ruined some clothing when it splashed as I poured it. Yes, I had high levels of pH afterwards. However, I usually added it only after we were done swimming for the day. Yes, we had bleached swimming suits, deck boards and a pool liner. Nonetheless, liquid chlorine was the simplest and least costly pool chemical. Occasionally I would add some algaecide, but one gallon of chlorine was all I used when needed.
It has been over 10 years since I had a pool, so I would believe that the pool chemistry has improved. So, this was not written as a recommendation from an expert, but just worked well for me at that time.