What types of home water filters will or will not remove metals from drinking water?

The cheap kinds,if it's below 4000 USD than it will not remove it.

But the costly ones have a system called hyper-ventriloping-ozonation-breathalisor, this system uses a chemical called hydroginated peroxide

to remove the metals usually found in water.Don't drink from those cheap one or you might get a rare sickness called fragelohyponism which causes rashes on the skin.