Introduction
Don't panic if your home button brakes; just follow this guide to replace it. You will have to remove the screen.
Tools
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Locate the indent area highlighted in red and use either your fingernail or a Prying Tool (such as a guitar pick) to separate the back from the body of the phone.
 
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Once the cover is removed, locate the battery that reads "SAMSUNG."
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Use either your fingernail or a Plastic Prying Tool (such as a guitar pick) to lift up the bottom indent of the battery.
 
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Use a Thin Plastic Tool (such as a guitar pick) or Plastic Prying Tool (such as a spudger) to lift out the glass digitizer and LCD screen around the edges.
 
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Use a #0 Phillips bit screwdriver to remove the four screws from the black, plastic piece surrounding the home button.
 
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Using a sharp plastic tool such as a guitar pick or prying tool to pop up and remove the black, plastic piece.
 
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The white button will be connected to the black piece.
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Slightly bend the black piece and gently push the white button until it pops out of the black, plastic piece.
 
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To reassemble your device, follow these instructions in reverse order.