The strips are probably bleaching out due to the chlorine, so you actually have some when they indicate that you don't, which is one reason why they're no good for clearing up a pool with problems--they just are not accurate. If the bigger test kits are not in your budget, even if you go to WalMart and get the quick OTO for $6 that only measures chlorine and ph, you're still better off. Even better than that, there's a 6-way for $15 that measures most everything else you'll need. However, if you can afford it, the Taylor K-2006 is still THE best kit to get, and will save you money tenfold.
You don't want the kids in the pool during the time the shocking is happening. Keep them out of it until it's blue and clear--if you'll consistently keep your chlorine up to "shock" level, it won't be long before they can enjoy a clean, clear pool.

Janet