The white worm like things come from overfeeding. I think we all go through that phase when we are trying to adjust the food amount that should be given to our fishies. They will disappear in a few days if you can control your feedings properly. Do not leave excess food lying around on the bottom of your tank, and keep it clean. I've had flare ups of these white worms a few times, usually happens when I get lazy and don't clean out excess food or food that has been partially eaten by someone and left to rot.
I think they are called planaria?
~Tony