We're lucky to have Infant Swim of America in our city and they teach kids to immediately roll over on their backs and float. This becomes second nature to even the littlest ones who may fall in. Kids don't need to know how to swim, they need to know how to float and save themselves. Basically when my daughter was little I could have walked over and shoved her in the pool when she's not expecting it she would just get her body righted and float and holler for help and then work her way to the side without panicking.
That being said, a cover is a second level of protection and an investment and you'll want to take good care of it. Our roller broke on year 5 and we had to learn how it works and how to fix it ourselves. Things I've learned:
1) never roll the cover with any standing water, pump all of it off
2) spray off the reel, ropes and roller ends as best you can weekly
3) use Dawn dish soap (never Tide) to clean and a marine UV protectant on the cover twice a year (spring/fall) (303 aerospace protectant or pool cover protectant)
4) use a food grade spray on the ropes (CRC food grade silicone)
5) master your chemicals and be sure to realize that a cover does impact your water chemistry because it's not off-gassing as much and it's going to retain heat/chemicals
My chemistry was much easier to manage with the pool uncovered. My pool is smaller and it's a sport pool so it's shallow compared to other pools so the cover made the water too hot sometimes. I learned to leave the pump off on hot days and let it run during the night to keep it cooler. The salt cell is probably oversized for my pool which is normally supposed to be a good thing but even when it's set to 0 on the dial it's still really around 5% so I have to shut if off if I let the pump run so I don't build up too much chlorine.
If any of the above has changed in the time I've been on the site, others can correct