Re: Help for foamy faucets?
Can't see the problem coming from the hot water tank as it would show up at all your water outlets. Sounds like something in the line dedicated to the kitchen sink. Having the problem in both the hot and cold supplies makes it even more interesting. The water filter - filters in your case - seem the likely source so you'll have to track the line to see if you have such critters. If you come across them, toss out the filter elements, do the bleach deal on the entire system, flush everything out, and install new filters.
Another source of the problem can also be lines off your kitchen piping. We have a pair of lines running off the sink to an outside shower. This creates dead legs after the sink that can easily collect all kinds of buggies as they are nice and warm and don't get flushed out at all. If you have any kind of piping after the sink, make sure you run your bleach solution through that as well.
Another option is that you have some strange pipe material that is deteriorating on you and giving you the cruddy material you see in the sink. If you have access to a local service, you can have the water tested for material and bug content and that can help you focus in on the needed fix.
Good luck and let us know how things get resolved.