P.K.
Hello,
We also have a little kid pool about the same size. Both my son's father and I work full time, so our son mostly swims in it on the weekends (or after work if it's hot enough by that time) I find that cleaning it out once a week by dumping all the water out and re-filling it is the best way to go. We have a little fishing net that we use to scoop out any grass or things that might get in the water in between re-fills, but for the most part, if it looks a bit cloudy or dirty, we dump it out and fill it up with fresh water. I have never tried bleach, I know it's kind of a pain to dump it all out and refill, but in my opinion it's the safest. I hope this helps :)
Happy swimming!!
PK~