Rastoma, there are ways to rid yourself of excess chlorine in a pool, but I don't think you need to use them. 10 ppm of cl with a cya of 50 is no problem for your kids, thier clothes nor the pool. The combined chlorine is a problem, the best way to get rid of that is to ... add more chlorine - you've got to chemically 'burn' it out of the water. Ben's best guess chart says to take the ppm to 15 for shocking. Once the cc is gone you can reduce the ppm to ~3.
Having said that, if you want less chlorine in the pool, give it something to attack (sweat, pee, suntan lotion, grass and leaves), but that will raise the cc again and you'll be back where you started (there is a chemical, thiosulphate, that will destroy the chlorine, but it's not cheep). My best advice is to shock until the water is clear and there's no more 'chlorine smell' then let it drift down by itself before adding more bleach to the pool. Just my $.02