Shower head attachment to soften water?
I was wondering if there are shower head filter out there that act as a water softener? The place I am about to move to has hard water and I can't install an entire water softener system, so I want to be able to soften the water some other way.

Any suggestions?

Don't think there is any. But there are mechanisms for that to attach to your household water source I think

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Softness or hardness is a chemical property the water adopted from its source. To change that property, you need to subject it to chemical reaction by using the appropriate chemicals, shower head will not filter it way except it has chemical based filters inside it. Best you install a system that will manage the water source entering your house as a whole.